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Finding the Fourth Proportional to 10,702.68, 14,769.72 and 5,987.04

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Solution

The fourth proportional to 10,702.68, 14,769.72 and 5,987.04 is: 8,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.68 : 14,769.72 = 5,987.04 : x
  2. Step 2: Convert to fraction form
    10,702.68/14,769.72 = 5,987.04/x
  3. Step 3: Cross multiply
    10,702.68x = 14,769.72 × 5,987.04
  4. Step 4: Simplify right side
    10,702.68x = 88,426,904.43
  5. Step 5: Solve for x
    x = 88,426,904.43/10,702.68
  6. Step 6: Final answer
    x = 8,262.13

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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.