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Finding the Fourth Proportional to 6,906.84, 10,347.88 and 4,435.52

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Solution

The fourth proportional to 6,906.84, 10,347.88 and 4,435.52 is: 6,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.84 : 10,347.88 = 4,435.52 : x
  2. Step 2: Convert to fraction form
    6,906.84/10,347.88 = 4,435.52/x
  3. Step 3: Cross multiply
    6,906.84x = 10,347.88 × 4,435.52
  4. Step 4: Simplify right side
    6,906.84x = 45,898,228.70
  5. Step 5: Solve for x
    x = 45,898,228.70/6,906.84
  6. Step 6: Final answer
    x = 6,645.33

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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.