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Finding the Fourth Proportional to 8,356.07, 12,535.32 and 2,511.92

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Solution

The fourth proportional to 8,356.07, 12,535.32 and 2,511.92 is: 3,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.07 : 12,535.32 = 2,511.92 : x
  2. Step 2: Convert to fraction form
    8,356.07/12,535.32 = 2,511.92/x
  3. Step 3: Cross multiply
    8,356.07x = 12,535.32 × 2,511.92
  4. Step 4: Simplify right side
    8,356.07x = 31,487,658.34
  5. Step 5: Solve for x
    x = 31,487,658.34/8,356.07
  6. Step 6: Final answer
    x = 3,768.24

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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.