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Finding the Fourth Proportional to 10,705.13, 14,773.08 and 5,990.52

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Solution

The fourth proportional to 10,705.13, 14,773.08 and 5,990.52 is: 8,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.13 : 14,773.08 = 5,990.52 : x
  2. Step 2: Convert to fraction form
    10,705.13/14,773.08 = 5,990.52/x
  3. Step 3: Cross multiply
    10,705.13x = 14,773.08 × 5,990.52
  4. Step 4: Simplify right side
    10,705.13x = 88,498,431.20
  5. Step 5: Solve for x
    x = 88,498,431.20/10,705.13
  6. Step 6: Final answer
    x = 8,266.92

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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.