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Finding the Fourth Proportional to 11,798.60, 16,287.18 and 7,812.68

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Solution

The fourth proportional to 11,798.60, 16,287.18 and 7,812.68 is: 10,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.60 : 16,287.18 = 7,812.68 : x
  2. Step 2: Convert to fraction form
    11,798.60/16,287.18 = 7,812.68/x
  3. Step 3: Cross multiply
    11,798.60x = 16,287.18 × 7,812.68
  4. Step 4: Simplify right side
    11,798.60x = 127,246,525.44
  5. Step 5: Solve for x
    x = 127,246,525.44/11,798.60
  6. Step 6: Final answer
    x = 10,784.88

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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.