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Finding the Fourth Proportional to 10,687.86, 16,010.02 and 8,720.50

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Solution

The fourth proportional to 10,687.86, 16,010.02 and 8,720.50 is: 13,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.86 : 16,010.02 = 8,720.50 : x
  2. Step 2: Convert to fraction form
    10,687.86/16,010.02 = 8,720.50/x
  3. Step 3: Cross multiply
    10,687.86x = 16,010.02 × 8,720.50
  4. Step 4: Simplify right side
    10,687.86x = 139,615,379.41
  5. Step 5: Solve for x
    x = 139,615,379.41/10,687.86
  6. Step 6: Final answer
    x = 13,062.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.