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Finding the Fourth Proportional to 10,284.67, 15,427.00 and 2,493.48

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Solution

The fourth proportional to 10,284.67, 15,427.00 and 2,493.48 is: 3,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.67 : 15,427.00 = 2,493.48 : x
  2. Step 2: Convert to fraction form
    10,284.67/15,427.00 = 2,493.48/x
  3. Step 3: Cross multiply
    10,284.67x = 15,427.00 × 2,493.48
  4. Step 4: Simplify right side
    10,284.67x = 38,466,960.76
  5. Step 5: Solve for x
    x = 38,466,960.76/10,284.67
  6. Step 6: Final answer
    x = 3,740.22

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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.