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Finding the Fourth Proportional to 10,832.62, 14,949.12 and 6,356.45

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Solution

The fourth proportional to 10,832.62, 14,949.12 and 6,356.45 is: 8,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.62 : 14,949.12 = 6,356.45 : x
  2. Step 2: Convert to fraction form
    10,832.62/14,949.12 = 6,356.45/x
  3. Step 3: Cross multiply
    10,832.62x = 14,949.12 × 6,356.45
  4. Step 4: Simplify right side
    10,832.62x = 95,023,326.17
  5. Step 5: Solve for x
    x = 95,023,326.17/10,832.62
  6. Step 6: Final answer
    x = 8,771.96

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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.