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Finding the Fourth Proportional to 10,438.93, 15,659.86 and 3,043.93

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Solution

The fourth proportional to 10,438.93, 15,659.86 and 3,043.93 is: 4,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.93 : 15,659.86 = 3,043.93 : x
  2. Step 2: Convert to fraction form
    10,438.93/15,659.86 = 3,043.93/x
  3. Step 3: Cross multiply
    10,438.93x = 15,659.86 × 3,043.93
  4. Step 4: Simplify right side
    10,438.93x = 47,667,517.65
  5. Step 5: Solve for x
    x = 47,667,517.65/10,438.93
  6. Step 6: Final answer
    x = 4,566.32

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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.