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Finding the Fourth Proportional to 10,613.54, 15,898.42 and 6,217.66

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Solution

The fourth proportional to 10,613.54, 15,898.42 and 6,217.66 is: 9,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.54 : 15,898.42 = 6,217.66 : x
  2. Step 2: Convert to fraction form
    10,613.54/15,898.42 = 6,217.66/x
  3. Step 3: Cross multiply
    10,613.54x = 15,898.42 × 6,217.66
  4. Step 4: Simplify right side
    10,613.54x = 98,850,970.10
  5. Step 5: Solve for x
    x = 98,850,970.10/10,613.54
  6. Step 6: Final answer
    x = 9,313.67

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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.