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Finding the Fourth Proportional to 10,330.53, 14,255.90 and 6,024.42

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Solution

The fourth proportional to 10,330.53, 14,255.90 and 6,024.42 is: 8,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.53 : 14,255.90 = 6,024.42 : x
  2. Step 2: Convert to fraction form
    10,330.53/14,255.90 = 6,024.42/x
  3. Step 3: Cross multiply
    10,330.53x = 14,255.90 × 6,024.42
  4. Step 4: Simplify right side
    10,330.53x = 85,883,498.96
  5. Step 5: Solve for x
    x = 85,883,498.96/10,330.53
  6. Step 6: Final answer
    x = 8,313.56

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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.