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Finding the Fourth Proportional to 8,277.98, 12,417.58 and 2,434.84

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Solution

The fourth proportional to 8,277.98, 12,417.58 and 2,434.84 is: 3,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.98 : 12,417.58 = 2,434.84 : x
  2. Step 2: Convert to fraction form
    8,277.98/12,417.58 = 2,434.84/x
  3. Step 3: Cross multiply
    8,277.98x = 12,417.58 × 2,434.84
  4. Step 4: Simplify right side
    8,277.98x = 30,234,829.92
  5. Step 5: Solve for x
    x = 30,234,829.92/8,277.98
  6. Step 6: Final answer
    x = 3,652.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.