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Finding the Fourth Proportional to 6,870.66, 10,306.40 and 1,940.68

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Solution

The fourth proportional to 6,870.66, 10,306.40 and 1,940.68 is: 2,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.66 : 10,306.40 = 1,940.68 : x
  2. Step 2: Convert to fraction form
    6,870.66/10,306.40 = 1,940.68/x
  3. Step 3: Cross multiply
    6,870.66x = 10,306.40 × 1,940.68
  4. Step 4: Simplify right side
    6,870.66x = 20,001,424.35
  5. Step 5: Solve for x
    x = 20,001,424.35/6,870.66
  6. Step 6: Final answer
    x = 2,911.14

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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.