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Finding the Fourth Proportional to 7,828.56, 10,806.86 and 5,479.92

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Solution

The fourth proportional to 7,828.56, 10,806.86 and 5,479.92 is: 7,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.56 : 10,806.86 = 5,479.92 : x
  2. Step 2: Convert to fraction form
    7,828.56/10,806.86 = 5,479.92/x
  3. Step 3: Cross multiply
    7,828.56x = 10,806.86 × 5,479.92
  4. Step 4: Simplify right side
    7,828.56x = 59,220,728.25
  5. Step 5: Solve for x
    x = 59,220,728.25/7,828.56
  6. Step 6: Final answer
    x = 7,564.70

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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.