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Finding the Fourth Proportional to 10,391.12, 15,583.44 and 3,464

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Solution

The fourth proportional to 10,391.12, 15,583.44 and 3,464 is: 5,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.12 : 15,583.44 = 3,464 : x
  2. Step 2: Convert to fraction form
    10,391.12/15,583.44 = 3,464/x
  3. Step 3: Cross multiply
    10,391.12x = 15,583.44 × 3,464
  4. Step 4: Simplify right side
    10,391.12x = 53,981,036.16
  5. Step 5: Solve for x
    x = 53,981,036.16/10,391.12
  6. Step 6: Final answer
    x = 5,194.92

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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.