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Finding the Fourth Proportional to 8,090.74, 12,116.96 and 5,160.16

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Solution

The fourth proportional to 8,090.74, 12,116.96 and 5,160.16 is: 7,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.74 : 12,116.96 = 5,160.16 : x
  2. Step 2: Convert to fraction form
    8,090.74/12,116.96 = 5,160.16/x
  3. Step 3: Cross multiply
    8,090.74x = 12,116.96 × 5,160.16
  4. Step 4: Simplify right side
    8,090.74x = 62,525,365.93
  5. Step 5: Solve for x
    x = 62,525,365.93/8,090.74
  6. Step 6: Final answer
    x = 7,728.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.