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Finding the Fourth Proportional to 7,565.28, 10,440.04 and 4,208.04

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Solution

The fourth proportional to 7,565.28, 10,440.04 and 4,208.04 is: 5,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.28 : 10,440.04 = 4,208.04 : x
  2. Step 2: Convert to fraction form
    7,565.28/10,440.04 = 4,208.04/x
  3. Step 3: Cross multiply
    7,565.28x = 10,440.04 × 4,208.04
  4. Step 4: Simplify right side
    7,565.28x = 43,932,105.92
  5. Step 5: Solve for x
    x = 43,932,105.92/7,565.28
  6. Step 6: Final answer
    x = 5,807.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.