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Finding the Fourth Proportional to 10,702.79, 14,769.89 and 5,987.07

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Solution

The fourth proportional to 10,702.79, 14,769.89 and 5,987.07 is: 8,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.79 : 14,769.89 = 5,987.07 : x
  2. Step 2: Convert to fraction form
    10,702.79/14,769.89 = 5,987.07/x
  3. Step 3: Cross multiply
    10,702.79x = 14,769.89 × 5,987.07
  4. Step 4: Simplify right side
    10,702.79x = 88,428,335.39
  5. Step 5: Solve for x
    x = 88,428,335.39/10,702.79
  6. Step 6: Final answer
    x = 8,262.18

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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.