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Finding the Fourth Proportional to 12,885.12, 17,778.84 and 7,295.04

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Solution

The fourth proportional to 12,885.12, 17,778.84 and 7,295.04 is: 10,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.12 : 17,778.84 = 7,295.04 : x
  2. Step 2: Convert to fraction form
    12,885.12/17,778.84 = 7,295.04/x
  3. Step 3: Cross multiply
    12,885.12x = 17,778.84 × 7,295.04
  4. Step 4: Simplify right side
    12,885.12x = 129,697,348.95
  5. Step 5: Solve for x
    x = 129,697,348.95/12,885.12
  6. Step 6: Final answer
    x = 10,065.67

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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.