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Finding the Fourth Proportional to 8,214.51, 12,320.42 and 2,291.80

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Solution

The fourth proportional to 8,214.51, 12,320.42 and 2,291.80 is: 3,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.51 : 12,320.42 = 2,291.80 : x
  2. Step 2: Convert to fraction form
    8,214.51/12,320.42 = 2,291.80/x
  3. Step 3: Cross multiply
    8,214.51x = 12,320.42 × 2,291.80
  4. Step 4: Simplify right side
    8,214.51x = 28,235,938.56
  5. Step 5: Solve for x
    x = 28,235,938.56/8,214.51
  6. Step 6: Final answer
    x = 3,437.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.