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Finding the Fourth Proportional to 10,453.26, 15,681 and 3,057.76

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Solution

The fourth proportional to 10,453.26, 15,681 and 3,057.76 is: 4,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.26 : 15,681 = 3,057.76 : x
  2. Step 2: Convert to fraction form
    10,453.26/15,681 = 3,057.76/x
  3. Step 3: Cross multiply
    10,453.26x = 15,681 × 3,057.76
  4. Step 4: Simplify right side
    10,453.26x = 47,948,656.16
  5. Step 5: Solve for x
    x = 47,948,656.16/10,453.26
  6. Step 6: Final answer
    x = 4,586.96

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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.