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Finding the Fourth Proportional to 8,271.48, 11,381.30 and 8,074.65

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Solution

The fourth proportional to 8,271.48, 11,381.30 and 8,074.65 is: 11,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.48 : 11,381.30 = 8,074.65 : x
  2. Step 2: Convert to fraction form
    8,271.48/11,381.30 = 8,074.65/x
  3. Step 3: Cross multiply
    8,271.48x = 11,381.30 × 8,074.65
  4. Step 4: Simplify right side
    8,271.48x = 91,899,973.67
  5. Step 5: Solve for x
    x = 91,899,973.67/8,271.48
  6. Step 6: Final answer
    x = 11,110.46

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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.