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Finding the Fourth Proportional to 8,282.95, 12,415.41 and 4,126.03

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Solution

The fourth proportional to 8,282.95, 12,415.41 and 4,126.03 is: 6,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.95 : 12,415.41 = 4,126.03 : x
  2. Step 2: Convert to fraction form
    8,282.95/12,415.41 = 4,126.03/x
  3. Step 3: Cross multiply
    8,282.95x = 12,415.41 × 4,126.03
  4. Step 4: Simplify right side
    8,282.95x = 51,226,323.08
  5. Step 5: Solve for x
    x = 51,226,323.08/8,282.95
  6. Step 6: Final answer
    x = 6,184.55

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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.