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Finding the Fourth Proportional to 10,497.60, 15,724.80 and 5,306.40

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Solution

The fourth proportional to 10,497.60, 15,724.80 and 5,306.40 is: 7,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.60 : 15,724.80 = 5,306.40 : x
  2. Step 2: Convert to fraction form
    10,497.60/15,724.80 = 5,306.40/x
  3. Step 3: Cross multiply
    10,497.60x = 15,724.80 × 5,306.40
  4. Step 4: Simplify right side
    10,497.60x = 83,442,078.72
  5. Step 5: Solve for x
    x = 83,442,078.72/10,497.60
  6. Step 6: Final answer
    x = 7,948.68

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