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Finding the Fourth Proportional to 10,617.12, 15,908.24 and 6,458.33

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Solution

The fourth proportional to 10,617.12, 15,908.24 and 6,458.33 is: 9,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.12 : 15,908.24 = 6,458.33 : x
  2. Step 2: Convert to fraction form
    10,617.12/15,908.24 = 6,458.33/x
  3. Step 3: Cross multiply
    10,617.12x = 15,908.24 × 6,458.33
  4. Step 4: Simplify right side
    10,617.12x = 102,740,551.81
  5. Step 5: Solve for x
    x = 102,740,551.81/10,617.12
  6. Step 6: Final answer
    x = 9,676.88

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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.