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Finding the Fourth Proportional to 7,095.72, 10,638.38 and 2,414.47

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Solution

The fourth proportional to 7,095.72, 10,638.38 and 2,414.47 is: 3,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.72 : 10,638.38 = 2,414.47 : x
  2. Step 2: Convert to fraction form
    7,095.72/10,638.38 = 2,414.47/x
  3. Step 3: Cross multiply
    7,095.72x = 10,638.38 × 2,414.47
  4. Step 4: Simplify right side
    7,095.72x = 25,686,054.37
  5. Step 5: Solve for x
    x = 25,686,054.37/7,095.72
  6. Step 6: Final answer
    x = 3,619.94

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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.