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Finding the Fourth Proportional to 7,139.27, 10,702.74 and 2,759.81

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Solution

The fourth proportional to 7,139.27, 10,702.74 and 2,759.81 is: 4,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.27 : 10,702.74 = 2,759.81 : x
  2. Step 2: Convert to fraction form
    7,139.27/10,702.74 = 2,759.81/x
  3. Step 3: Cross multiply
    7,139.27x = 10,702.74 × 2,759.81
  4. Step 4: Simplify right side
    7,139.27x = 29,537,485.71
  5. Step 5: Solve for x
    x = 29,537,485.71/7,139.27
  6. Step 6: Final answer
    x = 4,137.32

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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.