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Finding the Fourth Proportional to 10,811.12, 14,918.28 and 6,096.20

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Solution

The fourth proportional to 10,811.12, 14,918.28 and 6,096.20 is: 8,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.12 : 14,918.28 = 6,096.20 : x
  2. Step 2: Convert to fraction form
    10,811.12/14,918.28 = 6,096.20/x
  3. Step 3: Cross multiply
    10,811.12x = 14,918.28 × 6,096.20
  4. Step 4: Simplify right side
    10,811.12x = 90,944,818.54
  5. Step 5: Solve for x
    x = 90,944,818.54/10,811.12
  6. Step 6: Final answer
    x = 8,412.16

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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.