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Finding the Fourth Proportional to 7,549.83, 11,323.87 and 2,003.56

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Solution

The fourth proportional to 7,549.83, 11,323.87 and 2,003.56 is: 3,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.83 : 11,323.87 = 2,003.56 : x
  2. Step 2: Convert to fraction form
    7,549.83/11,323.87 = 2,003.56/x
  3. Step 3: Cross multiply
    7,549.83x = 11,323.87 × 2,003.56
  4. Step 4: Simplify right side
    7,549.83x = 22,688,019.66
  5. Step 5: Solve for x
    x = 22,688,019.66/7,549.83
  6. Step 6: Final answer
    x = 3,005.10

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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.