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Finding the Fourth Proportional to 10,729.64, 16,098 and 4,155.86

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Solution

The fourth proportional to 10,729.64, 16,098 and 4,155.86 is: 6,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.64 : 16,098 = 4,155.86 : x
  2. Step 2: Convert to fraction form
    10,729.64/16,098 = 4,155.86/x
  3. Step 3: Cross multiply
    10,729.64x = 16,098 × 4,155.86
  4. Step 4: Simplify right side
    10,729.64x = 66,901,034.28
  5. Step 5: Solve for x
    x = 66,901,034.28/10,729.64
  6. Step 6: Final answer
    x = 6,235.16

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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.