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Finding the Fourth Proportional to 11,157.68, 16,710.13 and 9,688.85

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Solution

The fourth proportional to 11,157.68, 16,710.13 and 9,688.85 is: 14,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.68 : 16,710.13 = 9,688.85 : x
  2. Step 2: Convert to fraction form
    11,157.68/16,710.13 = 9,688.85/x
  3. Step 3: Cross multiply
    11,157.68x = 16,710.13 × 9,688.85
  4. Step 4: Simplify right side
    11,157.68x = 161,901,943.05
  5. Step 5: Solve for x
    x = 161,901,943.05/11,157.68
  6. Step 6: Final answer
    x = 14,510.36

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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.