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Finding the Fourth Proportional to 5,663.23, 8,494.02 and 1,503.49

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Solution

The fourth proportional to 5,663.23, 8,494.02 and 1,503.49 is: 2,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.23 : 8,494.02 = 1,503.49 : x
  2. Step 2: Convert to fraction form
    5,663.23/8,494.02 = 1,503.49/x
  3. Step 3: Cross multiply
    5,663.23x = 8,494.02 × 1,503.49
  4. Step 4: Simplify right side
    5,663.23x = 12,770,674.13
  5. Step 5: Solve for x
    x = 12,770,674.13/5,663.23
  6. Step 6: Final answer
    x = 2,255.02

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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.