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Finding the Fourth Proportional to 10,613.40, 15,915 and 3,216.48

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Solution

The fourth proportional to 10,613.40, 15,915 and 3,216.48 is: 4,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.40 : 15,915 = 3,216.48 : x
  2. Step 2: Convert to fraction form
    10,613.40/15,915 = 3,216.48/x
  3. Step 3: Cross multiply
    10,613.40x = 15,915 × 3,216.48
  4. Step 4: Simplify right side
    10,613.40x = 51,190,279.20
  5. Step 5: Solve for x
    x = 51,190,279.20/10,613.40
  6. Step 6: Final answer
    x = 4,823.17

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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.