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Finding the Fourth Proportional to 6,935.48, 10,402.81 and 2,005.01

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Solution

The fourth proportional to 6,935.48, 10,402.81 and 2,005.01 is: 3,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.48 : 10,402.81 = 2,005.01 : x
  2. Step 2: Convert to fraction form
    6,935.48/10,402.81 = 2,005.01/x
  3. Step 3: Cross multiply
    6,935.48x = 10,402.81 × 2,005.01
  4. Step 4: Simplify right side
    6,935.48x = 20,857,738.08
  5. Step 5: Solve for x
    x = 20,857,738.08/6,935.48
  6. Step 6: Final answer
    x = 3,007.40

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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.