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Finding the Fourth Proportional to 10,654.30, 14,702.24 and 6,406.06

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Solution

The fourth proportional to 10,654.30, 14,702.24 and 6,406.06 is: 8,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.30 : 14,702.24 = 6,406.06 : x
  2. Step 2: Convert to fraction form
    10,654.30/14,702.24 = 6,406.06/x
  3. Step 3: Cross multiply
    10,654.30x = 14,702.24 × 6,406.06
  4. Step 4: Simplify right side
    10,654.30x = 94,183,431.57
  5. Step 5: Solve for x
    x = 94,183,431.57/10,654.30
  6. Step 6: Final answer
    x = 8,839.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.