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Finding the Fourth Proportional to 7,854.52, 11,767.74 and 5,651.32

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Solution

The fourth proportional to 7,854.52, 11,767.74 and 5,651.32 is: 8,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.52 : 11,767.74 = 5,651.32 : x
  2. Step 2: Convert to fraction form
    7,854.52/11,767.74 = 5,651.32/x
  3. Step 3: Cross multiply
    7,854.52x = 11,767.74 × 5,651.32
  4. Step 4: Simplify right side
    7,854.52x = 66,503,264.42
  5. Step 5: Solve for x
    x = 66,503,264.42/7,854.52
  6. Step 6: Final answer
    x = 8,466.88

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Why These Related Problems?

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