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Finding the Fourth Proportional to 10,534.38, 15,806.18 and 4,991.68

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Solution

The fourth proportional to 10,534.38, 15,806.18 and 4,991.68 is: 7,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.38 : 15,806.18 = 4,991.68 : x
  2. Step 2: Convert to fraction form
    10,534.38/15,806.18 = 4,991.68/x
  3. Step 3: Cross multiply
    10,534.38x = 15,806.18 × 4,991.68
  4. Step 4: Simplify right side
    10,534.38x = 78,899,392.58
  5. Step 5: Solve for x
    x = 78,899,392.58/10,534.38
  6. Step 6: Final answer
    x = 7,489.70

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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.