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Finding the Fourth Proportional to 7,086.34, 9,778.08 and 4,102.47

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Solution

The fourth proportional to 7,086.34, 9,778.08 and 4,102.47 is: 5,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.34 : 9,778.08 = 4,102.47 : x
  2. Step 2: Convert to fraction form
    7,086.34/9,778.08 = 4,102.47/x
  3. Step 3: Cross multiply
    7,086.34x = 9,778.08 × 4,102.47
  4. Step 4: Simplify right side
    7,086.34x = 40,114,279.86
  5. Step 5: Solve for x
    x = 40,114,279.86/7,086.34
  6. Step 6: Final answer
    x = 5,660.79

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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.