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Finding the Fourth Proportional to 10,567.62, 15,854.06 and 3,172.22

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Solution

The fourth proportional to 10,567.62, 15,854.06 and 3,172.22 is: 4,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.62 : 15,854.06 = 3,172.22 : x
  2. Step 2: Convert to fraction form
    10,567.62/15,854.06 = 3,172.22/x
  3. Step 3: Cross multiply
    10,567.62x = 15,854.06 × 3,172.22
  4. Step 4: Simplify right side
    10,567.62x = 50,292,566.21
  5. Step 5: Solve for x
    x = 50,292,566.21/10,567.62
  6. Step 6: Final answer
    x = 4,759.12

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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.