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Finding the Fourth Proportional to 8,800.32, 13,202.56 and 4,182.08

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Solution

The fourth proportional to 8,800.32, 13,202.56 and 4,182.08 is: 6,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,800.32 : 13,202.56 = 4,182.08 : x
  2. Step 2: Convert to fraction form
    8,800.32/13,202.56 = 4,182.08/x
  3. Step 3: Cross multiply
    8,800.32x = 13,202.56 × 4,182.08
  4. Step 4: Simplify right side
    8,800.32x = 55,214,162.12
  5. Step 5: Solve for x
    x = 55,214,162.12/8,800.32
  6. Step 6: Final answer
    x = 6,274.11

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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.