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Finding the Fourth Proportional to 8,235.90, 12,378.15 and 7,166.70

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Solution

The fourth proportional to 8,235.90, 12,378.15 and 7,166.70 is: 10,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.90 : 12,378.15 = 7,166.70 : x
  2. Step 2: Convert to fraction form
    8,235.90/12,378.15 = 7,166.70/x
  3. Step 3: Cross multiply
    8,235.90x = 12,378.15 × 7,166.70
  4. Step 4: Simplify right side
    8,235.90x = 88,710,487.61
  5. Step 5: Solve for x
    x = 88,710,487.61/8,235.90
  6. Step 6: Final answer
    x = 10,771.20

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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.