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Finding the Fourth Proportional to 8,023.16, 12,024.14 and 5,809.40

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Solution

The fourth proportional to 8,023.16, 12,024.14 and 5,809.40 is: 8,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.16 : 12,024.14 = 5,809.40 : x
  2. Step 2: Convert to fraction form
    8,023.16/12,024.14 = 5,809.40/x
  3. Step 3: Cross multiply
    8,023.16x = 12,024.14 × 5,809.40
  4. Step 4: Simplify right side
    8,023.16x = 69,853,038.92
  5. Step 5: Solve for x
    x = 69,853,038.92/8,023.16
  6. Step 6: Final answer
    x = 8,706.42

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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.