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Finding the Fourth Proportional to 7,860.60, 11,766.60 and 7,423.20

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Solution

The fourth proportional to 7,860.60, 11,766.60 and 7,423.20 is: 11,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.60 : 11,766.60 = 7,423.20 : x
  2. Step 2: Convert to fraction form
    7,860.60/11,766.60 = 7,423.20/x
  3. Step 3: Cross multiply
    7,860.60x = 11,766.60 × 7,423.20
  4. Step 4: Simplify right side
    7,860.60x = 87,345,825.12
  5. Step 5: Solve for x
    x = 87,345,825.12/7,860.60
  6. Step 6: Final answer
    x = 11,111.85

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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.