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Finding the Fourth Proportional to 11,057.10, 16,602.27 and 9,513.91

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Solution

The fourth proportional to 11,057.10, 16,602.27 and 9,513.91 is: 14,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.10 : 16,602.27 = 9,513.91 : x
  2. Step 2: Convert to fraction form
    11,057.10/16,602.27 = 9,513.91/x
  3. Step 3: Cross multiply
    11,057.10x = 16,602.27 × 9,513.91
  4. Step 4: Simplify right side
    11,057.10x = 157,952,502.58
  5. Step 5: Solve for x
    x = 157,952,502.58/11,057.10
  6. Step 6: Final answer
    x = 14,285.17

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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.