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Finding the Fourth Proportional to 7,382.88, 10,187.76 and 4,238.40

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Solution

The fourth proportional to 7,382.88, 10,187.76 and 4,238.40 is: 5,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.88 : 10,187.76 = 4,238.40 : x
  2. Step 2: Convert to fraction form
    7,382.88/10,187.76 = 4,238.40/x
  3. Step 3: Cross multiply
    7,382.88x = 10,187.76 × 4,238.40
  4. Step 4: Simplify right side
    7,382.88x = 43,179,801.98
  5. Step 5: Solve for x
    x = 43,179,801.98/7,382.88
  6. Step 6: Final answer
    x = 5,848.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.