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Finding the Fourth Proportional to 10,854.32, 14,991.21 and 7,311.38

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Solution

The fourth proportional to 10,854.32, 14,991.21 and 7,311.38 is: 10,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.32 : 14,991.21 = 7,311.38 : x
  2. Step 2: Convert to fraction form
    10,854.32/14,991.21 = 7,311.38/x
  3. Step 3: Cross multiply
    10,854.32x = 14,991.21 × 7,311.38
  4. Step 4: Simplify right side
    10,854.32x = 109,606,358.01
  5. Step 5: Solve for x
    x = 109,606,358.01/10,854.32
  6. Step 6: Final answer
    x = 10,097.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.