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Finding the Fourth Proportional to 6,870.89, 10,307.01 and 1,940.57

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Solution

The fourth proportional to 6,870.89, 10,307.01 and 1,940.57 is: 2,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.89 : 10,307.01 = 1,940.57 : x
  2. Step 2: Convert to fraction form
    6,870.89/10,307.01 = 1,940.57/x
  3. Step 3: Cross multiply
    6,870.89x = 10,307.01 × 1,940.57
  4. Step 4: Simplify right side
    6,870.89x = 20,001,474.40
  5. Step 5: Solve for x
    x = 20,001,474.40/6,870.89
  6. Step 6: Final answer
    x = 2,911.05

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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.