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Finding the Fourth Proportional to 10,452.06, 14,424.14 and 5,977.22

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Solution

The fourth proportional to 10,452.06, 14,424.14 and 5,977.22 is: 8,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.06 : 14,424.14 = 5,977.22 : x
  2. Step 2: Convert to fraction form
    10,452.06/14,424.14 = 5,977.22/x
  3. Step 3: Cross multiply
    10,452.06x = 14,424.14 × 5,977.22
  4. Step 4: Simplify right side
    10,452.06x = 86,216,200.91
  5. Step 5: Solve for x
    x = 86,216,200.91/10,452.06
  6. Step 6: Final answer
    x = 8,248.73

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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.