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Finding the Fourth Proportional to 7,789.77, 10,734.47 and 6,113.07

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Solution

The fourth proportional to 7,789.77, 10,734.47 and 6,113.07 is: 8,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.77 : 10,734.47 = 6,113.07 : x
  2. Step 2: Convert to fraction form
    7,789.77/10,734.47 = 6,113.07/x
  3. Step 3: Cross multiply
    7,789.77x = 10,734.47 × 6,113.07
  4. Step 4: Simplify right side
    7,789.77x = 65,620,535.96
  5. Step 5: Solve for x
    x = 65,620,535.96/7,789.77
  6. Step 6: Final answer
    x = 8,423.94

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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.