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Finding the Fourth Proportional to 7,003.38, 9,664.54 and 3,816.71

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Solution

The fourth proportional to 7,003.38, 9,664.54 and 3,816.71 is: 5,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.38 : 9,664.54 = 3,816.71 : x
  2. Step 2: Convert to fraction form
    7,003.38/9,664.54 = 3,816.71/x
  3. Step 3: Cross multiply
    7,003.38x = 9,664.54 × 3,816.71
  4. Step 4: Simplify right side
    7,003.38x = 36,886,746.46
  5. Step 5: Solve for x
    x = 36,886,746.46/7,003.38
  6. Step 6: Final answer
    x = 5,266.99

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Why These Related Problems?

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