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Finding the Fourth Proportional to 7,652.43, 10,557.65 and 5,001.38

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Solution

The fourth proportional to 7,652.43, 10,557.65 and 5,001.38 is: 6,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.43 : 10,557.65 = 5,001.38 : x
  2. Step 2: Convert to fraction form
    7,652.43/10,557.65 = 5,001.38/x
  3. Step 3: Cross multiply
    7,652.43x = 10,557.65 × 5,001.38
  4. Step 4: Simplify right side
    7,652.43x = 52,802,741.76
  5. Step 5: Solve for x
    x = 52,802,741.76/7,652.43
  6. Step 6: Final answer
    x = 6,900.13

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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.