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Finding the Fourth Proportional to 10,544.94, 15,812.82 and 5,613.48

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Solution

The fourth proportional to 10,544.94, 15,812.82 and 5,613.48 is: 8,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.94 : 15,812.82 = 5,613.48 : x
  2. Step 2: Convert to fraction form
    10,544.94/15,812.82 = 5,613.48/x
  3. Step 3: Cross multiply
    10,544.94x = 15,812.82 × 5,613.48
  4. Step 4: Simplify right side
    10,544.94x = 88,764,948.81
  5. Step 5: Solve for x
    x = 88,764,948.81/10,544.94
  6. Step 6: Final answer
    x = 8,417.78

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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.