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Finding the Fourth Proportional to 10,305.75, 15,454.95 and 4,459.17

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Solution

The fourth proportional to 10,305.75, 15,454.95 and 4,459.17 is: 6,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.75 : 15,454.95 = 4,459.17 : x
  2. Step 2: Convert to fraction form
    10,305.75/15,454.95 = 4,459.17/x
  3. Step 3: Cross multiply
    10,305.75x = 15,454.95 × 4,459.17
  4. Step 4: Simplify right side
    10,305.75x = 68,916,249.39
  5. Step 5: Solve for x
    x = 68,916,249.39/10,305.75
  6. Step 6: Final answer
    x = 6,687.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.