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Finding the Fourth Proportional to 10,302.85, 14,207.25 and 8,815.69

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Solution

The fourth proportional to 10,302.85, 14,207.25 and 8,815.69 is: 12,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.85 : 14,207.25 = 8,815.69 : x
  2. Step 2: Convert to fraction form
    10,302.85/14,207.25 = 8,815.69/x
  3. Step 3: Cross multiply
    10,302.85x = 14,207.25 × 8,815.69
  4. Step 4: Simplify right side
    10,302.85x = 125,246,711.75
  5. Step 5: Solve for x
    x = 125,246,711.75/10,302.85
  6. Step 6: Final answer
    x = 12,156.51

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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.