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Finding the Fourth Proportional to 8,105.16, 12,153.18 and 2,557.47

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Solution

The fourth proportional to 8,105.16, 12,153.18 and 2,557.47 is: 3,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.16 : 12,153.18 = 2,557.47 : x
  2. Step 2: Convert to fraction form
    8,105.16/12,153.18 = 2,557.47/x
  3. Step 3: Cross multiply
    8,105.16x = 12,153.18 × 2,557.47
  4. Step 4: Simplify right side
    8,105.16x = 31,081,393.25
  5. Step 5: Solve for x
    x = 31,081,393.25/8,105.16
  6. Step 6: Final answer
    x = 3,834.77

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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.