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Finding the Fourth Proportional to 10,128.53, 13,977 and 6,353.72

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Solution

The fourth proportional to 10,128.53, 13,977 and 6,353.72 is: 8,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.53 : 13,977 = 6,353.72 : x
  2. Step 2: Convert to fraction form
    10,128.53/13,977 = 6,353.72/x
  3. Step 3: Cross multiply
    10,128.53x = 13,977 × 6,353.72
  4. Step 4: Simplify right side
    10,128.53x = 88,805,979.38
  5. Step 5: Solve for x
    x = 88,805,979.38/10,128.53
  6. Step 6: Final answer
    x = 8,767.91

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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.