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Finding the Fourth Proportional to 8,410.58, 12,599.46 and 5,115.50

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Solution

The fourth proportional to 8,410.58, 12,599.46 and 5,115.50 is: 7,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.58 : 12,599.46 = 5,115.50 : x
  2. Step 2: Convert to fraction form
    8,410.58/12,599.46 = 5,115.50/x
  3. Step 3: Cross multiply
    8,410.58x = 12,599.46 × 5,115.50
  4. Step 4: Simplify right side
    8,410.58x = 64,452,474.63
  5. Step 5: Solve for x
    x = 64,452,474.63/8,410.58
  6. Step 6: Final answer
    x = 7,663.27

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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.