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Finding the Fourth Proportional to 5,788.10, 8,678.80 and 5,096.16

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Solution

The fourth proportional to 5,788.10, 8,678.80 and 5,096.16 is: 7,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.10 : 8,678.80 = 5,096.16 : x
  2. Step 2: Convert to fraction form
    5,788.10/8,678.80 = 5,096.16/x
  3. Step 3: Cross multiply
    5,788.10x = 8,678.80 × 5,096.16
  4. Step 4: Simplify right side
    5,788.10x = 44,228,518.97
  5. Step 5: Solve for x
    x = 44,228,518.97/5,788.10
  6. Step 6: Final answer
    x = 7,641.28

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