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Finding the Fourth Proportional to 8,344.77, 12,509.89 and 3,411.26

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Solution

The fourth proportional to 8,344.77, 12,509.89 and 3,411.26 is: 5,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.77 : 12,509.89 = 3,411.26 : x
  2. Step 2: Convert to fraction form
    8,344.77/12,509.89 = 3,411.26/x
  3. Step 3: Cross multiply
    8,344.77x = 12,509.89 × 3,411.26
  4. Step 4: Simplify right side
    8,344.77x = 42,674,552.75
  5. Step 5: Solve for x
    x = 42,674,552.75/8,344.77
  6. Step 6: Final answer
    x = 5,113.93

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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.