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Finding the Fourth Proportional to 8,271.91, 11,421.20 and 5,089.49

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Solution

The fourth proportional to 8,271.91, 11,421.20 and 5,089.49 is: 7,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.91 : 11,421.20 = 5,089.49 : x
  2. Step 2: Convert to fraction form
    8,271.91/11,421.20 = 5,089.49/x
  3. Step 3: Cross multiply
    8,271.91x = 11,421.20 × 5,089.49
  4. Step 4: Simplify right side
    8,271.91x = 58,128,000.63
  5. Step 5: Solve for x
    x = 58,128,000.63/8,271.91
  6. Step 6: Final answer
    x = 7,027.16

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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.