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Finding the Fourth Proportional to 7,446.48, 11,147.85 and 5,875.49

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Solution

The fourth proportional to 7,446.48, 11,147.85 and 5,875.49 is: 8,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.48 : 11,147.85 = 5,875.49 : x
  2. Step 2: Convert to fraction form
    7,446.48/11,147.85 = 5,875.49/x
  3. Step 3: Cross multiply
    7,446.48x = 11,147.85 × 5,875.49
  4. Step 4: Simplify right side
    7,446.48x = 65,499,025.46
  5. Step 5: Solve for x
    x = 65,499,025.46/7,446.48
  6. Step 6: Final answer
    x = 8,795.97

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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.