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Finding the Fourth Proportional to 10,256.80, 15,384.12 and 4,412.56

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Solution

The fourth proportional to 10,256.80, 15,384.12 and 4,412.56 is: 6,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.80 : 15,384.12 = 4,412.56 : x
  2. Step 2: Convert to fraction form
    10,256.80/15,384.12 = 4,412.56/x
  3. Step 3: Cross multiply
    10,256.80x = 15,384.12 × 4,412.56
  4. Step 4: Simplify right side
    10,256.80x = 67,883,352.55
  5. Step 5: Solve for x
    x = 67,883,352.55/10,256.80
  6. Step 6: Final answer
    x = 6,618.38

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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.