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Finding the Fourth Proportional to 10,574.34, 15,861.10 and 3,458.55

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Solution

The fourth proportional to 10,574.34, 15,861.10 and 3,458.55 is: 5,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.34 : 15,861.10 = 3,458.55 : x
  2. Step 2: Convert to fraction form
    10,574.34/15,861.10 = 3,458.55/x
  3. Step 3: Cross multiply
    10,574.34x = 15,861.10 × 3,458.55
  4. Step 4: Simplify right side
    10,574.34x = 54,856,407.41
  5. Step 5: Solve for x
    x = 54,856,407.41/10,574.34
  6. Step 6: Final answer
    x = 5,187.69

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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.