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Finding the Fourth Proportional to 8,267.02, 12,400.55 and 6,803.11

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Solution

The fourth proportional to 8,267.02, 12,400.55 and 6,803.11 is: 10,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.02 : 12,400.55 = 6,803.11 : x
  2. Step 2: Convert to fraction form
    8,267.02/12,400.55 = 6,803.11/x
  3. Step 3: Cross multiply
    8,267.02x = 12,400.55 × 6,803.11
  4. Step 4: Simplify right side
    8,267.02x = 84,362,305.71
  5. Step 5: Solve for x
    x = 84,362,305.71/8,267.02
  6. Step 6: Final answer
    x = 10,204.68

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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.