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Finding the Fourth Proportional to 10,252.80, 15,378.12 and 4,408.56

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Solution

The fourth proportional to 10,252.80, 15,378.12 and 4,408.56 is: 6,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.80 : 15,378.12 = 4,408.56 : x
  2. Step 2: Convert to fraction form
    10,252.80/15,378.12 = 4,408.56/x
  3. Step 3: Cross multiply
    10,252.80x = 15,378.12 × 4,408.56
  4. Step 4: Simplify right side
    10,252.80x = 67,795,364.71
  5. Step 5: Solve for x
    x = 67,795,364.71/10,252.80
  6. Step 6: Final answer
    x = 6,612.38

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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.