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Finding the Fourth Proportional to 7,314.11, 10,971.06 and 1,767.42

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Solution

The fourth proportional to 7,314.11, 10,971.06 and 1,767.42 is: 2,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.11 : 10,971.06 = 1,767.42 : x
  2. Step 2: Convert to fraction form
    7,314.11/10,971.06 = 1,767.42/x
  3. Step 3: Cross multiply
    7,314.11x = 10,971.06 × 1,767.42
  4. Step 4: Simplify right side
    7,314.11x = 19,390,474.18
  5. Step 5: Solve for x
    x = 19,390,474.18/7,314.11
  6. Step 6: Final answer
    x = 2,651.10

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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.