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Finding the Fourth Proportional to 7,263.61, 10,896.32 and 3,565.96

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Solution

The fourth proportional to 7,263.61, 10,896.32 and 3,565.96 is: 5,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.61 : 10,896.32 = 3,565.96 : x
  2. Step 2: Convert to fraction form
    7,263.61/10,896.32 = 3,565.96/x
  3. Step 3: Cross multiply
    7,263.61x = 10,896.32 × 3,565.96
  4. Step 4: Simplify right side
    7,263.61x = 38,855,822.94
  5. Step 5: Solve for x
    x = 38,855,822.94/7,263.61
  6. Step 6: Final answer
    x = 5,349.38

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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.