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Finding the Fourth Proportional to 11,875.87, 16,387.68 and 6,569.38

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Solution

The fourth proportional to 11,875.87, 16,387.68 and 6,569.38 is: 9,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.87 : 16,387.68 = 6,569.38 : x
  2. Step 2: Convert to fraction form
    11,875.87/16,387.68 = 6,569.38/x
  3. Step 3: Cross multiply
    11,875.87x = 16,387.68 × 6,569.38
  4. Step 4: Simplify right side
    11,875.87x = 107,656,897.24
  5. Step 5: Solve for x
    x = 107,656,897.24/11,875.87
  6. Step 6: Final answer
    x = 9,065.18

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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.