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Finding the Fourth Proportional to 8,842.32, 12,202.53 and 5,065.46

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Solution

The fourth proportional to 8,842.32, 12,202.53 and 5,065.46 is: 6,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.32 : 12,202.53 = 5,065.46 : x
  2. Step 2: Convert to fraction form
    8,842.32/12,202.53 = 5,065.46/x
  3. Step 3: Cross multiply
    8,842.32x = 12,202.53 × 5,065.46
  4. Step 4: Simplify right side
    8,842.32x = 61,811,427.61
  5. Step 5: Solve for x
    x = 61,811,427.61/8,842.32
  6. Step 6: Final answer
    x = 6,990.41

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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.