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Finding the Fourth Proportional to 8,596.58, 12,871.76 and 5,459.60

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Solution

The fourth proportional to 8,596.58, 12,871.76 and 5,459.60 is: 8,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.58 : 12,871.76 = 5,459.60 : x
  2. Step 2: Convert to fraction form
    8,596.58/12,871.76 = 5,459.60/x
  3. Step 3: Cross multiply
    8,596.58x = 12,871.76 × 5,459.60
  4. Step 4: Simplify right side
    8,596.58x = 70,274,660.90
  5. Step 5: Solve for x
    x = 70,274,660.90/8,596.58
  6. Step 6: Final answer
    x = 8,174.72

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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.