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Finding the Fourth Proportional to 8,459.13, 11,674.22 and 5,102.76

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Solution

The fourth proportional to 8,459.13, 11,674.22 and 5,102.76 is: 7,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.13 : 11,674.22 = 5,102.76 : x
  2. Step 2: Convert to fraction form
    8,459.13/11,674.22 = 5,102.76/x
  3. Step 3: Cross multiply
    8,459.13x = 11,674.22 × 5,102.76
  4. Step 4: Simplify right side
    8,459.13x = 59,570,717.33
  5. Step 5: Solve for x
    x = 59,570,717.33/8,459.13
  6. Step 6: Final answer
    x = 7,042.18

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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.