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Finding the Fourth Proportional to 6,685.36, 10,024.17 and 2,301.64

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Solution

The fourth proportional to 6,685.36, 10,024.17 and 2,301.64 is: 3,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.36 : 10,024.17 = 2,301.64 : x
  2. Step 2: Convert to fraction form
    6,685.36/10,024.17 = 2,301.64/x
  3. Step 3: Cross multiply
    6,685.36x = 10,024.17 × 2,301.64
  4. Step 4: Simplify right side
    6,685.36x = 23,072,030.64
  5. Step 5: Solve for x
    x = 23,072,030.64/6,685.36
  6. Step 6: Final answer
    x = 3,451.13

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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.