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Finding the Fourth Proportional to 10,474.68, 15,702.30 and 3,899.28

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Solution

The fourth proportional to 10,474.68, 15,702.30 and 3,899.28 is: 5,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.68 : 15,702.30 = 3,899.28 : x
  2. Step 2: Convert to fraction form
    10,474.68/15,702.30 = 3,899.28/x
  3. Step 3: Cross multiply
    10,474.68x = 15,702.30 × 3,899.28
  4. Step 4: Simplify right side
    10,474.68x = 61,227,664.34
  5. Step 5: Solve for x
    x = 61,227,664.34/10,474.68
  6. Step 6: Final answer
    x = 5,845.30

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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.