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Finding the Fourth Proportional to 6,358.32, 8,770.86 and 5,100.78

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Solution

The fourth proportional to 6,358.32, 8,770.86 and 5,100.78 is: 7,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.32 : 8,770.86 = 5,100.78 : x
  2. Step 2: Convert to fraction form
    6,358.32/8,770.86 = 5,100.78/x
  3. Step 3: Cross multiply
    6,358.32x = 8,770.86 × 5,100.78
  4. Step 4: Simplify right side
    6,358.32x = 44,738,227.27
  5. Step 5: Solve for x
    x = 44,738,227.27/6,358.32
  6. Step 6: Final answer
    x = 7,036.17

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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.