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Finding the Fourth Proportional to 7,940.21, 10,970.66 and 6,274.40

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Solution

The fourth proportional to 7,940.21, 10,970.66 and 6,274.40 is: 8,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.21 : 10,970.66 = 6,274.40 : x
  2. Step 2: Convert to fraction form
    7,940.21/10,970.66 = 6,274.40/x
  3. Step 3: Cross multiply
    7,940.21x = 10,970.66 × 6,274.40
  4. Step 4: Simplify right side
    7,940.21x = 68,834,277.73
  5. Step 5: Solve for x
    x = 68,834,277.73/7,940.21
  6. Step 6: Final answer
    x = 8,669.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.