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Finding the Fourth Proportional to 10,291.59, 15,439.86 and 2,896.02

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Solution

The fourth proportional to 10,291.59, 15,439.86 and 2,896.02 is: 4,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.59 : 15,439.86 = 2,896.02 : x
  2. Step 2: Convert to fraction form
    10,291.59/15,439.86 = 2,896.02/x
  3. Step 3: Cross multiply
    10,291.59x = 15,439.86 × 2,896.02
  4. Step 4: Simplify right side
    10,291.59x = 44,714,143.36
  5. Step 5: Solve for x
    x = 44,714,143.36/10,291.59
  6. Step 6: Final answer
    x = 4,344.73

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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.