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Finding the Fourth Proportional to 10,539.66, 15,817.29 and 4,993.02

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Solution

The fourth proportional to 10,539.66, 15,817.29 and 4,993.02 is: 7,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.66 : 15,817.29 = 4,993.02 : x
  2. Step 2: Convert to fraction form
    10,539.66/15,817.29 = 4,993.02/x
  3. Step 3: Cross multiply
    10,539.66x = 15,817.29 × 4,993.02
  4. Step 4: Simplify right side
    10,539.66x = 78,976,045.32
  5. Step 5: Solve for x
    x = 78,976,045.32/10,539.66
  6. Step 6: Final answer
    x = 7,493.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.