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Finding the Fourth Proportional to 7,788.25, 10,749.25 and 4,879.15

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Solution

The fourth proportional to 7,788.25, 10,749.25 and 4,879.15 is: 6,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.25 : 10,749.25 = 4,879.15 : x
  2. Step 2: Convert to fraction form
    7,788.25/10,749.25 = 4,879.15/x
  3. Step 3: Cross multiply
    7,788.25x = 10,749.25 × 4,879.15
  4. Step 4: Simplify right side
    7,788.25x = 52,447,203.14
  5. Step 5: Solve for x
    x = 52,447,203.14/7,788.25
  6. Step 6: Final answer
    x = 6,734.14

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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.