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Finding the Fourth Proportional to 7,565.64, 10,418.12 and 5,437.42

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Solution

The fourth proportional to 7,565.64, 10,418.12 and 5,437.42 is: 7,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.64 : 10,418.12 = 5,437.42 : x
  2. Step 2: Convert to fraction form
    7,565.64/10,418.12 = 5,437.42/x
  3. Step 3: Cross multiply
    7,565.64x = 10,418.12 × 5,437.42
  4. Step 4: Simplify right side
    7,565.64x = 56,647,661.21
  5. Step 5: Solve for x
    x = 56,647,661.21/7,565.64
  6. Step 6: Final answer
    x = 7,487.49

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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.