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Finding the Fourth Proportional to 8,010.70, 12,017.20 and 2,464.51

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Solution

The fourth proportional to 8,010.70, 12,017.20 and 2,464.51 is: 3,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.70 : 12,017.20 = 2,464.51 : x
  2. Step 2: Convert to fraction form
    8,010.70/12,017.20 = 2,464.51/x
  3. Step 3: Cross multiply
    8,010.70x = 12,017.20 × 2,464.51
  4. Step 4: Simplify right side
    8,010.70x = 29,616,509.57
  5. Step 5: Solve for x
    x = 29,616,509.57/8,010.70
  6. Step 6: Final answer
    x = 3,697.12

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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.