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Finding the Fourth Proportional to 10,310.52, 15,466.64 and 3,291.53

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Solution

The fourth proportional to 10,310.52, 15,466.64 and 3,291.53 is: 4,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.52 : 15,466.64 = 3,291.53 : x
  2. Step 2: Convert to fraction form
    10,310.52/15,466.64 = 3,291.53/x
  3. Step 3: Cross multiply
    10,310.52x = 15,466.64 × 3,291.53
  4. Step 4: Simplify right side
    10,310.52x = 50,908,909.56
  5. Step 5: Solve for x
    x = 50,908,909.56/10,310.52
  6. Step 6: Final answer
    x = 4,937.57

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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.