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Finding the Fourth Proportional to 7,837.71, 11,758.09 and 7,053.45

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Solution

The fourth proportional to 7,837.71, 11,758.09 and 7,053.45 is: 10,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.71 : 11,758.09 = 7,053.45 : x
  2. Step 2: Convert to fraction form
    7,837.71/11,758.09 = 7,053.45/x
  3. Step 3: Cross multiply
    7,837.71x = 11,758.09 × 7,053.45
  4. Step 4: Simplify right side
    7,837.71x = 82,935,099.91
  5. Step 5: Solve for x
    x = 82,935,099.91/7,837.71
  6. Step 6: Final answer
    x = 10,581.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.