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Finding the Fourth Proportional to 10,654.20, 14,702.76 and 6,178.86

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Solution

The fourth proportional to 10,654.20, 14,702.76 and 6,178.86 is: 8,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.20 : 14,702.76 = 6,178.86 : x
  2. Step 2: Convert to fraction form
    10,654.20/14,702.76 = 6,178.86/x
  3. Step 3: Cross multiply
    10,654.20x = 14,702.76 × 6,178.86
  4. Step 4: Simplify right side
    10,654.20x = 90,846,295.65
  5. Step 5: Solve for x
    x = 90,846,295.65/10,654.20
  6. Step 6: Final answer
    x = 8,526.81

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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.