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Finding the Fourth Proportional to 11,382.50, 15,700.18 and 9,887.82

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Solution

The fourth proportional to 11,382.50, 15,700.18 and 9,887.82 is: 13,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.50 : 15,700.18 = 9,887.82 : x
  2. Step 2: Convert to fraction form
    11,382.50/15,700.18 = 9,887.82/x
  3. Step 3: Cross multiply
    11,382.50x = 15,700.18 × 9,887.82
  4. Step 4: Simplify right side
    11,382.50x = 155,240,553.81
  5. Step 5: Solve for x
    x = 155,240,553.81/11,382.50
  6. Step 6: Final answer
    x = 13,638.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.