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Finding the Fourth Proportional to 10,387.53, 14,336.06 and 8,391.69

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Solution

The fourth proportional to 10,387.53, 14,336.06 and 8,391.69 is: 11,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.53 : 14,336.06 = 8,391.69 : x
  2. Step 2: Convert to fraction form
    10,387.53/14,336.06 = 8,391.69/x
  3. Step 3: Cross multiply
    10,387.53x = 14,336.06 × 8,391.69
  4. Step 4: Simplify right side
    10,387.53x = 120,303,729.38
  5. Step 5: Solve for x
    x = 120,303,729.38/10,387.53
  6. Step 6: Final answer
    x = 11,581.55

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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.