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Finding the Fourth Proportional to 7,709.53, 10,640.01 and 4,565.92

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Solution

The fourth proportional to 7,709.53, 10,640.01 and 4,565.92 is: 6,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.53 : 10,640.01 = 4,565.92 : x
  2. Step 2: Convert to fraction form
    7,709.53/10,640.01 = 4,565.92/x
  3. Step 3: Cross multiply
    7,709.53x = 10,640.01 × 4,565.92
  4. Step 4: Simplify right side
    7,709.53x = 48,581,434.46
  5. Step 5: Solve for x
    x = 48,581,434.46/7,709.53
  6. Step 6: Final answer
    x = 6,301.48

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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.