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Finding the Fourth Proportional to 8,991.68, 12,415.20 and 5,459.66

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Solution

The fourth proportional to 8,991.68, 12,415.20 and 5,459.66 is: 7,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.68 : 12,415.20 = 5,459.66 : x
  2. Step 2: Convert to fraction form
    8,991.68/12,415.20 = 5,459.66/x
  3. Step 3: Cross multiply
    8,991.68x = 12,415.20 × 5,459.66
  4. Step 4: Simplify right side
    8,991.68x = 67,782,770.83
  5. Step 5: Solve for x
    x = 67,782,770.83/8,991.68
  6. Step 6: Final answer
    x = 7,538.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.