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Finding the Fourth Proportional to 7,287.97, 10,054.80 and 4,302.31

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Solution

The fourth proportional to 7,287.97, 10,054.80 and 4,302.31 is: 5,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.97 : 10,054.80 = 4,302.31 : x
  2. Step 2: Convert to fraction form
    7,287.97/10,054.80 = 4,302.31/x
  3. Step 3: Cross multiply
    7,287.97x = 10,054.80 × 4,302.31
  4. Step 4: Simplify right side
    7,287.97x = 43,258,866.59
  5. Step 5: Solve for x
    x = 43,258,866.59/7,287.97
  6. Step 6: Final answer
    x = 5,935.65

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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.