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Finding the Fourth Proportional to 6,870.30, 10,296.18 and 5,012.70

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Solution

The fourth proportional to 6,870.30, 10,296.18 and 5,012.70 is: 7,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.30 : 10,296.18 = 5,012.70 : x
  2. Step 2: Convert to fraction form
    6,870.30/10,296.18 = 5,012.70/x
  3. Step 3: Cross multiply
    6,870.30x = 10,296.18 × 5,012.70
  4. Step 4: Simplify right side
    6,870.30x = 51,611,661.49
  5. Step 5: Solve for x
    x = 51,611,661.49/6,870.30
  6. Step 6: Final answer
    x = 7,512.29

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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.