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Finding the Fourth Proportional to 11,459.97, 15,815.04 and 6,423.96

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Solution

The fourth proportional to 11,459.97, 15,815.04 and 6,423.96 is: 8,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.97 : 15,815.04 = 6,423.96 : x
  2. Step 2: Convert to fraction form
    11,459.97/15,815.04 = 6,423.96/x
  3. Step 3: Cross multiply
    11,459.97x = 15,815.04 × 6,423.96
  4. Step 4: Simplify right side
    11,459.97x = 101,595,184.36
  5. Step 5: Solve for x
    x = 101,595,184.36/11,459.97
  6. Step 6: Final answer
    x = 8,865.22

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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.