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Finding the Fourth Proportional to 7,856.19, 10,828.49 and 6,738.39

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Solution

The fourth proportional to 7,856.19, 10,828.49 and 6,738.39 is: 9,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.19 : 10,828.49 = 6,738.39 : x
  2. Step 2: Convert to fraction form
    7,856.19/10,828.49 = 6,738.39/x
  3. Step 3: Cross multiply
    7,856.19x = 10,828.49 × 6,738.39
  4. Step 4: Simplify right side
    7,856.19x = 72,966,555.04
  5. Step 5: Solve for x
    x = 72,966,555.04/7,856.19
  6. Step 6: Final answer
    x = 9,287.78

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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.