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Finding the Fourth Proportional to 8,271.96, 11,412.30 and 5,440.86

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Solution

The fourth proportional to 8,271.96, 11,412.30 and 5,440.86 is: 7,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.96 : 11,412.30 = 5,440.86 : x
  2. Step 2: Convert to fraction form
    8,271.96/11,412.30 = 5,440.86/x
  3. Step 3: Cross multiply
    8,271.96x = 11,412.30 × 5,440.86
  4. Step 4: Simplify right side
    8,271.96x = 62,092,726.58
  5. Step 5: Solve for x
    x = 62,092,726.58/8,271.96
  6. Step 6: Final answer
    x = 7,506.41

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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.