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Finding the Fourth Proportional to 8,896.61, 13,344.75 and 2,656.64

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Solution

The fourth proportional to 8,896.61, 13,344.75 and 2,656.64 is: 3,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.61 : 13,344.75 = 2,656.64 : x
  2. Step 2: Convert to fraction form
    8,896.61/13,344.75 = 2,656.64/x
  3. Step 3: Cross multiply
    8,896.61x = 13,344.75 × 2,656.64
  4. Step 4: Simplify right side
    8,896.61x = 35,452,129.92
  5. Step 5: Solve for x
    x = 35,452,129.92/8,896.61
  6. Step 6: Final answer
    x = 3,984.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.