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Finding the Fourth Proportional to 8,078.96, 11,146.19 and 5,052.02

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Solution

The fourth proportional to 8,078.96, 11,146.19 and 5,052.02 is: 6,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.96 : 11,146.19 = 5,052.02 : x
  2. Step 2: Convert to fraction form
    8,078.96/11,146.19 = 5,052.02/x
  3. Step 3: Cross multiply
    8,078.96x = 11,146.19 × 5,052.02
  4. Step 4: Simplify right side
    8,078.96x = 56,310,693.81
  5. Step 5: Solve for x
    x = 56,310,693.81/8,078.96
  6. Step 6: Final answer
    x = 6,970.05

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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.