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Finding the Fourth Proportional to 11,567.72, 15,963.36 and 6,854.24

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Solution

The fourth proportional to 11,567.72, 15,963.36 and 6,854.24 is: 9,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.72 : 15,963.36 = 6,854.24 : x
  2. Step 2: Convert to fraction form
    11,567.72/15,963.36 = 6,854.24/x
  3. Step 3: Cross multiply
    11,567.72x = 15,963.36 × 6,854.24
  4. Step 4: Simplify right side
    11,567.72x = 109,416,700.65
  5. Step 5: Solve for x
    x = 109,416,700.65/11,567.72
  6. Step 6: Final answer
    x = 9,458.80

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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.