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Finding the Fourth Proportional to 10,478.44, 15,712.71 and 3,810.24

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Solution

The fourth proportional to 10,478.44, 15,712.71 and 3,810.24 is: 5,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.44 : 15,712.71 = 3,810.24 : x
  2. Step 2: Convert to fraction form
    10,478.44/15,712.71 = 3,810.24/x
  3. Step 3: Cross multiply
    10,478.44x = 15,712.71 × 3,810.24
  4. Step 4: Simplify right side
    10,478.44x = 59,869,196.15
  5. Step 5: Solve for x
    x = 59,869,196.15/10,478.44
  6. Step 6: Final answer
    x = 5,713.56

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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.