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Finding the Fourth Proportional to 7,577.52, 11,364.96 and 2,382

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Solution

The fourth proportional to 7,577.52, 11,364.96 and 2,382 is: 3,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.52 : 11,364.96 = 2,382 : x
  2. Step 2: Convert to fraction form
    7,577.52/11,364.96 = 2,382/x
  3. Step 3: Cross multiply
    7,577.52x = 11,364.96 × 2,382
  4. Step 4: Simplify right side
    7,577.52x = 27,071,334.72
  5. Step 5: Solve for x
    x = 27,071,334.72/7,577.52
  6. Step 6: Final answer
    x = 3,572.59

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