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Finding the Fourth Proportional to 7,726.26, 10,666.38 and 6,044.10

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Solution

The fourth proportional to 7,726.26, 10,666.38 and 6,044.10 is: 8,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.26 : 10,666.38 = 6,044.10 : x
  2. Step 2: Convert to fraction form
    7,726.26/10,666.38 = 6,044.10/x
  3. Step 3: Cross multiply
    7,726.26x = 10,666.38 × 6,044.10
  4. Step 4: Simplify right side
    7,726.26x = 64,468,667.36
  5. Step 5: Solve for x
    x = 64,468,667.36/7,726.26
  6. Step 6: Final answer
    x = 8,344.10

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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.