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Finding the Fourth Proportional to 7,387.48, 10,198.49 and 5,705.11

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Solution

The fourth proportional to 7,387.48, 10,198.49 and 5,705.11 is: 7,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.48 : 10,198.49 = 5,705.11 : x
  2. Step 2: Convert to fraction form
    7,387.48/10,198.49 = 5,705.11/x
  3. Step 3: Cross multiply
    7,387.48x = 10,198.49 × 5,705.11
  4. Step 4: Simplify right side
    7,387.48x = 58,183,427.77
  5. Step 5: Solve for x
    x = 58,183,427.77/7,387.48
  6. Step 6: Final answer
    x = 7,875.96

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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.