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Finding the Fourth Proportional to 10,702.13, 14,768.93 and 5,987.52

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Solution

The fourth proportional to 10,702.13, 14,768.93 and 5,987.52 is: 8,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.13 : 14,768.93 = 5,987.52 : x
  2. Step 2: Convert to fraction form
    10,702.13/14,768.93 = 5,987.52/x
  3. Step 3: Cross multiply
    10,702.13x = 14,768.93 × 5,987.52
  4. Step 4: Simplify right side
    10,702.13x = 88,429,278.72
  5. Step 5: Solve for x
    x = 88,429,278.72/10,702.13
  6. Step 6: Final answer
    x = 8,262.78

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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.