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Finding the Fourth Proportional to 8,178.90, 12,261.06 and 6,803.52

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Solution

The fourth proportional to 8,178.90, 12,261.06 and 6,803.52 is: 10,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.90 : 12,261.06 = 6,803.52 : x
  2. Step 2: Convert to fraction form
    8,178.90/12,261.06 = 6,803.52/x
  3. Step 3: Cross multiply
    8,178.90x = 12,261.06 × 6,803.52
  4. Step 4: Simplify right side
    8,178.90x = 83,418,366.93
  5. Step 5: Solve for x
    x = 83,418,366.93/8,178.90
  6. Step 6: Final answer
    x = 10,199.22

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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.