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Finding the Fourth Proportional to 10,452.66, 14,422.02 and 6,203.76

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Solution

The fourth proportional to 10,452.66, 14,422.02 and 6,203.76 is: 8,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.66 : 14,422.02 = 6,203.76 : x
  2. Step 2: Convert to fraction form
    10,452.66/14,422.02 = 6,203.76/x
  3. Step 3: Cross multiply
    10,452.66x = 14,422.02 × 6,203.76
  4. Step 4: Simplify right side
    10,452.66x = 89,470,750.80
  5. Step 5: Solve for x
    x = 89,470,750.80/10,452.66
  6. Step 6: Final answer
    x = 8,559.62

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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.