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Finding the Fourth Proportional to 6,884.76, 10,334.42 and 4,289.52

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Solution

The fourth proportional to 6,884.76, 10,334.42 and 4,289.52 is: 6,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.76 : 10,334.42 = 4,289.52 : x
  2. Step 2: Convert to fraction form
    6,884.76/10,334.42 = 4,289.52/x
  3. Step 3: Cross multiply
    6,884.76x = 10,334.42 × 4,289.52
  4. Step 4: Simplify right side
    6,884.76x = 44,329,701.28
  5. Step 5: Solve for x
    x = 44,329,701.28/6,884.76
  6. Step 6: Final answer
    x = 6,438.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.