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Finding the Fourth Proportional to 10,623.66, 15,937.38 and 8,666.64

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Solution

The fourth proportional to 10,623.66, 15,937.38 and 8,666.64 is: 13,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.66 : 15,937.38 = 8,666.64 : x
  2. Step 2: Convert to fraction form
    10,623.66/15,937.38 = 8,666.64/x
  3. Step 3: Cross multiply
    10,623.66x = 15,937.38 × 8,666.64
  4. Step 4: Simplify right side
    10,623.66x = 138,123,535.00
  5. Step 5: Solve for x
    x = 138,123,535.00/10,623.66
  6. Step 6: Final answer
    x = 13,001.50

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Why These Related Problems?

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