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Finding the Fourth Proportional to 10,539.81, 15,809.71 and 3,149.46

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Solution

The fourth proportional to 10,539.81, 15,809.71 and 3,149.46 is: 4,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.81 : 15,809.71 = 3,149.46 : x
  2. Step 2: Convert to fraction form
    10,539.81/15,809.71 = 3,149.46/x
  3. Step 3: Cross multiply
    10,539.81x = 15,809.71 × 3,149.46
  4. Step 4: Simplify right side
    10,539.81x = 49,791,970.21
  5. Step 5: Solve for x
    x = 49,791,970.21/10,539.81
  6. Step 6: Final answer
    x = 4,724.18

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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.