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Finding the Fourth Proportional to 7,086.48, 9,778.20 and 4,061.76

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Solution

The fourth proportional to 7,086.48, 9,778.20 and 4,061.76 is: 5,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.48 : 9,778.20 = 4,061.76 : x
  2. Step 2: Convert to fraction form
    7,086.48/9,778.20 = 4,061.76/x
  3. Step 3: Cross multiply
    7,086.48x = 9,778.20 × 4,061.76
  4. Step 4: Simplify right side
    7,086.48x = 39,716,701.63
  5. Step 5: Solve for x
    x = 39,716,701.63/7,086.48
  6. Step 6: Final answer
    x = 5,604.57

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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.