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Finding the Fourth Proportional to 8,632.17, 11,900.93 and 5,642.87

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Solution

The fourth proportional to 8,632.17, 11,900.93 and 5,642.87 is: 7,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.17 : 11,900.93 = 5,642.87 : x
  2. Step 2: Convert to fraction form
    8,632.17/11,900.93 = 5,642.87/x
  3. Step 3: Cross multiply
    8,632.17x = 11,900.93 × 5,642.87
  4. Step 4: Simplify right side
    8,632.17x = 67,155,313.15
  5. Step 5: Solve for x
    x = 67,155,313.15/8,632.17
  6. Step 6: Final answer
    x = 7,779.66

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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.