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Finding the Fourth Proportional to 6,833.52, 10,255.28 and 4,374.36

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Solution

The fourth proportional to 6,833.52, 10,255.28 and 4,374.36 is: 6,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.52 : 10,255.28 = 4,374.36 : x
  2. Step 2: Convert to fraction form
    6,833.52/10,255.28 = 4,374.36/x
  3. Step 3: Cross multiply
    6,833.52x = 10,255.28 × 4,374.36
  4. Step 4: Simplify right side
    6,833.52x = 44,860,264.75
  5. Step 5: Solve for x
    x = 44,860,264.75/6,833.52
  6. Step 6: Final answer
    x = 6,564.74

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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.