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Finding the Fourth Proportional to 10,854.88, 16,287.55 and 9,451.96

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Solution

The fourth proportional to 10,854.88, 16,287.55 and 9,451.96 is: 14,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.88 : 16,287.55 = 9,451.96 : x
  2. Step 2: Convert to fraction form
    10,854.88/16,287.55 = 9,451.96/x
  3. Step 3: Cross multiply
    10,854.88x = 16,287.55 × 9,451.96
  4. Step 4: Simplify right side
    10,854.88x = 153,949,254.01
  5. Step 5: Solve for x
    x = 153,949,254.01/10,854.88
  6. Step 6: Final answer
    x = 14,182.50

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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.