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Finding the Fourth Proportional to 10,225.84, 14,111.75 and 5,749.51

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Solution

The fourth proportional to 10,225.84, 14,111.75 and 5,749.51 is: 7,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.84 : 14,111.75 = 5,749.51 : x
  2. Step 2: Convert to fraction form
    10,225.84/14,111.75 = 5,749.51/x
  3. Step 3: Cross multiply
    10,225.84x = 14,111.75 × 5,749.51
  4. Step 4: Simplify right side
    10,225.84x = 81,135,647.74
  5. Step 5: Solve for x
    x = 81,135,647.74/10,225.84
  6. Step 6: Final answer
    x = 7,934.37

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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.