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Finding the Fourth Proportional to 8,077.04, 12,122 and 4,182.56

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Solution

The fourth proportional to 8,077.04, 12,122 and 4,182.56 is: 6,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.04 : 12,122 = 4,182.56 : x
  2. Step 2: Convert to fraction form
    8,077.04/12,122 = 4,182.56/x
  3. Step 3: Cross multiply
    8,077.04x = 12,122 × 4,182.56
  4. Step 4: Simplify right side
    8,077.04x = 50,700,992.32
  5. Step 5: Solve for x
    x = 50,700,992.32/8,077.04
  6. Step 6: Final answer
    x = 6,277.17

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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.