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Finding the Fourth Proportional to 10,330.74, 14,256.72 and 6,354.18

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Solution

The fourth proportional to 10,330.74, 14,256.72 and 6,354.18 is: 8,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.74 : 14,256.72 = 6,354.18 : x
  2. Step 2: Convert to fraction form
    10,330.74/14,256.72 = 6,354.18/x
  3. Step 3: Cross multiply
    10,330.74x = 14,256.72 × 6,354.18
  4. Step 4: Simplify right side
    10,330.74x = 90,589,765.09
  5. Step 5: Solve for x
    x = 90,589,765.09/10,330.74
  6. Step 6: Final answer
    x = 8,768.95

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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.