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Finding the Fourth Proportional to 10,218.69, 15,307.53 and 7,451.22

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Solution

The fourth proportional to 10,218.69, 15,307.53 and 7,451.22 is: 11,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.69 : 15,307.53 = 7,451.22 : x
  2. Step 2: Convert to fraction form
    10,218.69/15,307.53 = 7,451.22/x
  3. Step 3: Cross multiply
    10,218.69x = 15,307.53 × 7,451.22
  4. Step 4: Simplify right side
    10,218.69x = 114,059,773.69
  5. Step 5: Solve for x
    x = 114,059,773.69/10,218.69
  6. Step 6: Final answer
    x = 11,161.88

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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.