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Finding the Fourth Proportional to 7,147.38, 10,704.42 and 6,950.64

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Solution

The fourth proportional to 7,147.38, 10,704.42 and 6,950.64 is: 10,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.38 : 10,704.42 = 6,950.64 : x
  2. Step 2: Convert to fraction form
    7,147.38/10,704.42 = 6,950.64/x
  3. Step 3: Cross multiply
    7,147.38x = 10,704.42 × 6,950.64
  4. Step 4: Simplify right side
    7,147.38x = 74,402,569.83
  5. Step 5: Solve for x
    x = 74,402,569.83/7,147.38
  6. Step 6: Final answer
    x = 10,409.77

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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.