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Finding the Fourth Proportional to 8,237,266.14, 11,354,826.51 and 5,782,992.06

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Solution

The fourth proportional to 8,237,266.14, 11,354,826.51 and 5,782,992.06 is: 7,971,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237,266.14 : 11,354,826.51 = 5,782,992.06 : x
  2. Step 2: Convert to fraction form
    8,237,266.14/11,354,826.51 = 5,782,992.06/x
  3. Step 3: Cross multiply
    8,237,266.14x = 11,354,826.51 × 5,782,992.06
  4. Step 4: Simplify right side
    8,237,266.14x = 65,664,871,550,007.51
  5. Step 5: Solve for x
    x = 65,664,871,550,007.51/8,237,266.14
  6. Step 6: Final answer
    x = 7,971,682.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.