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Finding the Fourth Proportional to 6,686.57, 10,023.71 and 2,302.98

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Solution

The fourth proportional to 6,686.57, 10,023.71 and 2,302.98 is: 3,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.57 : 10,023.71 = 2,302.98 : x
  2. Step 2: Convert to fraction form
    6,686.57/10,023.71 = 2,302.98/x
  3. Step 3: Cross multiply
    6,686.57x = 10,023.71 × 2,302.98
  4. Step 4: Simplify right side
    6,686.57x = 23,084,392.14
  5. Step 5: Solve for x
    x = 23,084,392.14/6,686.57
  6. Step 6: Final answer
    x = 3,452.35

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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.