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Finding the Fourth Proportional to 8,816.42, 12,155.59 and 6,454.46

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Solution

The fourth proportional to 8,816.42, 12,155.59 and 6,454.46 is: 8,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.42 : 12,155.59 = 6,454.46 : x
  2. Step 2: Convert to fraction form
    8,816.42/12,155.59 = 6,454.46/x
  3. Step 3: Cross multiply
    8,816.42x = 12,155.59 × 6,454.46
  4. Step 4: Simplify right side
    8,816.42x = 78,457,769.43
  5. Step 5: Solve for x
    x = 78,457,769.43/8,816.42
  6. Step 6: Final answer
    x = 8,899.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.