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Finding the Fourth Proportional to 7,565.87, 10,439.63 and 4,208.24

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Solution

The fourth proportional to 7,565.87, 10,439.63 and 4,208.24 is: 5,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.87 : 10,439.63 = 4,208.24 : x
  2. Step 2: Convert to fraction form
    7,565.87/10,439.63 = 4,208.24/x
  3. Step 3: Cross multiply
    7,565.87x = 10,439.63 × 4,208.24
  4. Step 4: Simplify right side
    7,565.87x = 43,932,468.55
  5. Step 5: Solve for x
    x = 43,932,468.55/7,565.87
  6. Step 6: Final answer
    x = 5,806.66

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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.