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Finding the Fourth Proportional to 10,702.86, 14,769.72 and 5,987.16

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Solution

The fourth proportional to 10,702.86, 14,769.72 and 5,987.16 is: 8,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.86 : 14,769.72 = 5,987.16 : x
  2. Step 2: Convert to fraction form
    10,702.86/14,769.72 = 5,987.16/x
  3. Step 3: Cross multiply
    10,702.86x = 14,769.72 × 5,987.16
  4. Step 4: Simplify right side
    10,702.86x = 88,428,676.80
  5. Step 5: Solve for x
    x = 88,428,676.80/10,702.86
  6. Step 6: Final answer
    x = 8,262.15

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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.