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Finding the Fourth Proportional to 10,365.80, 15,531.42 and 7,282.28

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Solution

The fourth proportional to 10,365.80, 15,531.42 and 7,282.28 is: 10,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.80 : 15,531.42 = 7,282.28 : x
  2. Step 2: Convert to fraction form
    10,365.80/15,531.42 = 7,282.28/x
  3. Step 3: Cross multiply
    10,365.80x = 15,531.42 × 7,282.28
  4. Step 4: Simplify right side
    10,365.80x = 113,104,149.24
  5. Step 5: Solve for x
    x = 113,104,149.24/10,365.80
  6. Step 6: Final answer
    x = 10,911.28

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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.