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Finding the Fourth Proportional to 10,449.31, 15,678.05 and 4,601.82

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Solution

The fourth proportional to 10,449.31, 15,678.05 and 4,601.82 is: 6,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.31 : 15,678.05 = 4,601.82 : x
  2. Step 2: Convert to fraction form
    10,449.31/15,678.05 = 4,601.82/x
  3. Step 3: Cross multiply
    10,449.31x = 15,678.05 × 4,601.82
  4. Step 4: Simplify right side
    10,449.31x = 72,147,564.05
  5. Step 5: Solve for x
    x = 72,147,564.05/10,449.31
  6. Step 6: Final answer
    x = 6,904.53

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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.