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Finding the Fourth Proportional to 12,077.61, 18,118.06 and 4,178.00

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Solution

The fourth proportional to 12,077.61, 18,118.06 and 4,178.00 is: 6,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.61 : 18,118.06 = 4,178.00 : x
  2. Step 2: Convert to fraction form
    12,077.61/18,118.06 = 4,178.00/x
  3. Step 3: Cross multiply
    12,077.61x = 18,118.06 × 4,178.00
  4. Step 4: Simplify right side
    12,077.61x = 75,697,289.53
  5. Step 5: Solve for x
    x = 75,697,289.53/12,077.61
  6. Step 6: Final answer
    x = 6,267.57

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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.