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Finding the Fourth Proportional to 8,400.55, 12,597.66 and 2,475.82

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Solution

The fourth proportional to 8,400.55, 12,597.66 and 2,475.82 is: 3,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.55 : 12,597.66 = 2,475.82 : x
  2. Step 2: Convert to fraction form
    8,400.55/12,597.66 = 2,475.82/x
  3. Step 3: Cross multiply
    8,400.55x = 12,597.66 × 2,475.82
  4. Step 4: Simplify right side
    8,400.55x = 31,189,538.58
  5. Step 5: Solve for x
    x = 31,189,538.58/8,400.55
  6. Step 6: Final answer
    x = 3,712.80

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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.