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Finding the Fourth Proportional to 10,459, 15,689.40 and 2,667.79

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Solution

The fourth proportional to 10,459, 15,689.40 and 2,667.79 is: 4,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459 : 15,689.40 = 2,667.79 : x
  2. Step 2: Convert to fraction form
    10,459/15,689.40 = 2,667.79/x
  3. Step 3: Cross multiply
    10,459x = 15,689.40 × 2,667.79
  4. Step 4: Simplify right side
    10,459x = 41,856,024.43
  5. Step 5: Solve for x
    x = 41,856,024.43/10,459
  6. Step 6: Final answer
    x = 4,001.91

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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.