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Finding the Fourth Proportional to 7,788.15, 11,734.26 and 7,048.76

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Solution

The fourth proportional to 7,788.15, 11,734.26 and 7,048.76 is: 10,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.15 : 11,734.26 = 7,048.76 : x
  2. Step 2: Convert to fraction form
    7,788.15/11,734.26 = 7,048.76/x
  3. Step 3: Cross multiply
    7,788.15x = 11,734.26 × 7,048.76
  4. Step 4: Simplify right side
    7,788.15x = 82,711,982.52
  5. Step 5: Solve for x
    x = 82,711,982.52/7,788.15
  6. Step 6: Final answer
    x = 10,620.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.