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Finding the Fourth Proportional to 8,378.80, 12,553.80 and 7,860.40

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Solution

The fourth proportional to 8,378.80, 12,553.80 and 7,860.40 is: 11,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.80 : 12,553.80 = 7,860.40 : x
  2. Step 2: Convert to fraction form
    8,378.80/12,553.80 = 7,860.40/x
  3. Step 3: Cross multiply
    8,378.80x = 12,553.80 × 7,860.40
  4. Step 4: Simplify right side
    8,378.80x = 98,677,889.52
  5. Step 5: Solve for x
    x = 98,677,889.52/8,378.80
  6. Step 6: Final answer
    x = 11,777.09

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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.