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Finding the Fourth Proportional to 6,930.70, 10,400.16 and 2,551.23

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Solution

The fourth proportional to 6,930.70, 10,400.16 and 2,551.23 is: 3,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.70 : 10,400.16 = 2,551.23 : x
  2. Step 2: Convert to fraction form
    6,930.70/10,400.16 = 2,551.23/x
  3. Step 3: Cross multiply
    6,930.70x = 10,400.16 × 2,551.23
  4. Step 4: Simplify right side
    6,930.70x = 26,533,209.76
  5. Step 5: Solve for x
    x = 26,533,209.76/6,930.70
  6. Step 6: Final answer
    x = 3,828.36

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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.