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Finding the Fourth Proportional to 8,637.86, 11,938.66 and 7,614.02

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Solution

The fourth proportional to 8,637.86, 11,938.66 and 7,614.02 is: 10,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.86 : 11,938.66 = 7,614.02 : x
  2. Step 2: Convert to fraction form
    8,637.86/11,938.66 = 7,614.02/x
  3. Step 3: Cross multiply
    8,637.86x = 11,938.66 × 7,614.02
  4. Step 4: Simplify right side
    8,637.86x = 90,901,196.01
  5. Step 5: Solve for x
    x = 90,901,196.01/8,637.86
  6. Step 6: Final answer
    x = 10,523.58

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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.