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Finding the Fourth Proportional to 10,578.48, 15,861.03 and 5,307.21

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Solution

The fourth proportional to 10,578.48, 15,861.03 and 5,307.21 is: 7,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.48 : 15,861.03 = 5,307.21 : x
  2. Step 2: Convert to fraction form
    10,578.48/15,861.03 = 5,307.21/x
  3. Step 3: Cross multiply
    10,578.48x = 15,861.03 × 5,307.21
  4. Step 4: Simplify right side
    10,578.48x = 84,177,817.03
  5. Step 5: Solve for x
    x = 84,177,817.03/10,578.48
  6. Step 6: Final answer
    x = 7,957.46

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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.