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Finding the Fourth Proportional to 8,274.89, 11,421.90 and 5,089.16

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Solution

The fourth proportional to 8,274.89, 11,421.90 and 5,089.16 is: 7,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.89 : 11,421.90 = 5,089.16 : x
  2. Step 2: Convert to fraction form
    8,274.89/11,421.90 = 5,089.16/x
  3. Step 3: Cross multiply
    8,274.89x = 11,421.90 × 5,089.16
  4. Step 4: Simplify right side
    8,274.89x = 58,127,876.60
  5. Step 5: Solve for x
    x = 58,127,876.60/8,274.89
  6. Step 6: Final answer
    x = 7,024.61

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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.