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Finding the Fourth Proportional to 10,314.61, 15,466.07 and 3,292.97

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Solution

The fourth proportional to 10,314.61, 15,466.07 and 3,292.97 is: 4,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.61 : 15,466.07 = 3,292.97 : x
  2. Step 2: Convert to fraction form
    10,314.61/15,466.07 = 3,292.97/x
  3. Step 3: Cross multiply
    10,314.61x = 15,466.07 × 3,292.97
  4. Step 4: Simplify right side
    10,314.61x = 50,929,235.43
  5. Step 5: Solve for x
    x = 50,929,235.43/10,314.61
  6. Step 6: Final answer
    x = 4,937.58

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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.