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Finding the Fourth Proportional to 7,883.68, 11,836.32 and 4,953.28

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Solution

The fourth proportional to 7,883.68, 11,836.32 and 4,953.28 is: 7,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.68 : 11,836.32 = 4,953.28 : x
  2. Step 2: Convert to fraction form
    7,883.68/11,836.32 = 4,953.28/x
  3. Step 3: Cross multiply
    7,883.68x = 11,836.32 × 4,953.28
  4. Step 4: Simplify right side
    7,883.68x = 58,628,607.13
  5. Step 5: Solve for x
    x = 58,628,607.13/7,883.68
  6. Step 6: Final answer
    x = 7,436.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.