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Finding the Fourth Proportional to 8,226.99, 12,341.66 and 3,032.46

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Solution

The fourth proportional to 8,226.99, 12,341.66 and 3,032.46 is: 4,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.99 : 12,341.66 = 3,032.46 : x
  2. Step 2: Convert to fraction form
    8,226.99/12,341.66 = 3,032.46/x
  3. Step 3: Cross multiply
    8,226.99x = 12,341.66 × 3,032.46
  4. Step 4: Simplify right side
    8,226.99x = 37,425,590.28
  5. Step 5: Solve for x
    x = 37,425,590.28/8,226.99
  6. Step 6: Final answer
    x = 4,549.12

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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.