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Finding the Fourth Proportional to 8,395.52, 12,577.62 and 5,614

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Solution

The fourth proportional to 8,395.52, 12,577.62 and 5,614 is: 8,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.52 : 12,577.62 = 5,614 : x
  2. Step 2: Convert to fraction form
    8,395.52/12,577.62 = 5,614/x
  3. Step 3: Cross multiply
    8,395.52x = 12,577.62 × 5,614
  4. Step 4: Simplify right side
    8,395.52x = 70,610,758.68
  5. Step 5: Solve for x
    x = 70,610,758.68/8,395.52
  6. Step 6: Final answer
    x = 8,410.53

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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.