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Finding the Fourth Proportional to 5,663.07, 8,496.23 and 1,767.78

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Solution

The fourth proportional to 5,663.07, 8,496.23 and 1,767.78 is: 2,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.07 : 8,496.23 = 1,767.78 : x
  2. Step 2: Convert to fraction form
    5,663.07/8,496.23 = 1,767.78/x
  3. Step 3: Cross multiply
    5,663.07x = 8,496.23 × 1,767.78
  4. Step 4: Simplify right side
    5,663.07x = 15,019,456.63
  5. Step 5: Solve for x
    x = 15,019,456.63/5,663.07
  6. Step 6: Final answer
    x = 2,652.18

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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.