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Finding the Fourth Proportional to 12,077.46, 18,111.87 and 6,534.90

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Solution

The fourth proportional to 12,077.46, 18,111.87 and 6,534.90 is: 9,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.46 : 18,111.87 = 6,534.90 : x
  2. Step 2: Convert to fraction form
    12,077.46/18,111.87 = 6,534.90/x
  3. Step 3: Cross multiply
    12,077.46x = 18,111.87 × 6,534.90
  4. Step 4: Simplify right side
    12,077.46x = 118,359,259.26
  5. Step 5: Solve for x
    x = 118,359,259.26/12,077.46
  6. Step 6: Final answer
    x = 9,800.01

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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.