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Finding the Fourth Proportional to 7,823.71, 10,793.11 and 6,928.36

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Solution

The fourth proportional to 7,823.71, 10,793.11 and 6,928.36 is: 9,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.71 : 10,793.11 = 6,928.36 : x
  2. Step 2: Convert to fraction form
    7,823.71/10,793.11 = 6,928.36/x
  3. Step 3: Cross multiply
    7,823.71x = 10,793.11 × 6,928.36
  4. Step 4: Simplify right side
    7,823.71x = 74,778,543.94
  5. Step 5: Solve for x
    x = 74,778,543.94/7,823.71
  6. Step 6: Final answer
    x = 9,557.94

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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.