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Finding the Fourth Proportional to 7,565.38, 10,437.72 and 4,580.08

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Solution

The fourth proportional to 7,565.38, 10,437.72 and 4,580.08 is: 6,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.38 : 10,437.72 = 4,580.08 : x
  2. Step 2: Convert to fraction form
    7,565.38/10,437.72 = 4,580.08/x
  3. Step 3: Cross multiply
    7,565.38x = 10,437.72 × 4,580.08
  4. Step 4: Simplify right side
    7,565.38x = 47,805,592.62
  5. Step 5: Solve for x
    x = 47,805,592.62/7,565.38
  6. Step 6: Final answer
    x = 6,318.99

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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.