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Finding the Fourth Proportional to 10,654.32, 14,702.20 and 6,406.08

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Solution

The fourth proportional to 10,654.32, 14,702.20 and 6,406.08 is: 8,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.32 : 14,702.20 = 6,406.08 : x
  2. Step 2: Convert to fraction form
    10,654.32/14,702.20 = 6,406.08/x
  3. Step 3: Cross multiply
    10,654.32x = 14,702.20 × 6,406.08
  4. Step 4: Simplify right side
    10,654.32x = 94,183,469.38
  5. Step 5: Solve for x
    x = 94,183,469.38/10,654.32
  6. Step 6: Final answer
    x = 8,839.93

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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.