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Finding the Fourth Proportional to 10,534.59, 15,800.58 and 2,744.01

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Solution

The fourth proportional to 10,534.59, 15,800.58 and 2,744.01 is: 4,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.59 : 15,800.58 = 2,744.01 : x
  2. Step 2: Convert to fraction form
    10,534.59/15,800.58 = 2,744.01/x
  3. Step 3: Cross multiply
    10,534.59x = 15,800.58 × 2,744.01
  4. Step 4: Simplify right side
    10,534.59x = 43,356,949.53
  5. Step 5: Solve for x
    x = 43,356,949.53/10,534.59
  6. Step 6: Final answer
    x = 4,115.68

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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.