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Finding the Fourth Proportional to 7,565.72, 10,439.56 and 4,208.57

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Solution

The fourth proportional to 7,565.72, 10,439.56 and 4,208.57 is: 5,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.72 : 10,439.56 = 4,208.57 : x
  2. Step 2: Convert to fraction form
    7,565.72/10,439.56 = 4,208.57/x
  3. Step 3: Cross multiply
    7,565.72x = 10,439.56 × 4,208.57
  4. Step 4: Simplify right side
    7,565.72x = 43,935,611.24
  5. Step 5: Solve for x
    x = 43,935,611.24/7,565.72
  6. Step 6: Final answer
    x = 5,807.20

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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.