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Finding the Fourth Proportional to 7,846.80, 10,822.56 and 4,864.16

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Solution

The fourth proportional to 7,846.80, 10,822.56 and 4,864.16 is: 6,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.80 : 10,822.56 = 4,864.16 : x
  2. Step 2: Convert to fraction form
    7,846.80/10,822.56 = 4,864.16/x
  3. Step 3: Cross multiply
    7,846.80x = 10,822.56 × 4,864.16
  4. Step 4: Simplify right side
    7,846.80x = 52,642,663.45
  5. Step 5: Solve for x
    x = 52,642,663.45/7,846.80
  6. Step 6: Final answer
    x = 6,708.81

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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.