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Finding the Fourth Proportional to 7,565.88, 11,338.32 and 5,715.48

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Solution

The fourth proportional to 7,565.88, 11,338.32 and 5,715.48 is: 8,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.88 : 11,338.32 = 5,715.48 : x
  2. Step 2: Convert to fraction form
    7,565.88/11,338.32 = 5,715.48/x
  3. Step 3: Cross multiply
    7,565.88x = 11,338.32 × 5,715.48
  4. Step 4: Simplify right side
    7,565.88x = 64,803,941.19
  5. Step 5: Solve for x
    x = 64,803,941.19/7,565.88
  6. Step 6: Final answer
    x = 8,565.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.