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Finding the Fourth Proportional to 7,508.65, 10,362.00 and 4,105.76

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Solution

The fourth proportional to 7,508.65, 10,362.00 and 4,105.76 is: 5,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.65 : 10,362.00 = 4,105.76 : x
  2. Step 2: Convert to fraction form
    7,508.65/10,362.00 = 4,105.76/x
  3. Step 3: Cross multiply
    7,508.65x = 10,362.00 × 4,105.76
  4. Step 4: Simplify right side
    7,508.65x = 42,543,872.01
  5. Step 5: Solve for x
    x = 42,543,872.01/7,508.65
  6. Step 6: Final answer
    x = 5,665.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.