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Finding the Fourth Proportional to 10,978.12, 15,149.90 and 6,262.64

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Solution

The fourth proportional to 10,978.12, 15,149.90 and 6,262.64 is: 8,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.12 : 15,149.90 = 6,262.64 : x
  2. Step 2: Convert to fraction form
    10,978.12/15,149.90 = 6,262.64/x
  3. Step 3: Cross multiply
    10,978.12x = 15,149.90 × 6,262.64
  4. Step 4: Simplify right side
    10,978.12x = 94,878,369.74
  5. Step 5: Solve for x
    x = 94,878,369.74/10,978.12
  6. Step 6: Final answer
    x = 8,642.50

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