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Finding the Fourth Proportional to 10,468.32, 15,702.48 and 3,893.88

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Solution

The fourth proportional to 10,468.32, 15,702.48 and 3,893.88 is: 5,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.32 : 15,702.48 = 3,893.88 : x
  2. Step 2: Convert to fraction form
    10,468.32/15,702.48 = 3,893.88/x
  3. Step 3: Cross multiply
    10,468.32x = 15,702.48 × 3,893.88
  4. Step 4: Simplify right side
    10,468.32x = 61,143,572.82
  5. Step 5: Solve for x
    x = 61,143,572.82/10,468.32
  6. Step 6: Final answer
    x = 5,840.82

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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.