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Finding the Fourth Proportional to 10,452.72, 14,425.14 and 6,205.98

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Solution

The fourth proportional to 10,452.72, 14,425.14 and 6,205.98 is: 8,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.72 : 14,425.14 = 6,205.98 : x
  2. Step 2: Convert to fraction form
    10,452.72/14,425.14 = 6,205.98/x
  3. Step 3: Cross multiply
    10,452.72x = 14,425.14 × 6,205.98
  4. Step 4: Simplify right side
    10,452.72x = 89,522,130.34
  5. Step 5: Solve for x
    x = 89,522,130.34/10,452.72
  6. Step 6: Final answer
    x = 8,564.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.