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Finding the Fourth Proportional to 10,723.68, 14,796 and 6,531.36

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Solution

The fourth proportional to 10,723.68, 14,796 and 6,531.36 is: 9,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.68 : 14,796 = 6,531.36 : x
  2. Step 2: Convert to fraction form
    10,723.68/14,796 = 6,531.36/x
  3. Step 3: Cross multiply
    10,723.68x = 14,796 × 6,531.36
  4. Step 4: Simplify right side
    10,723.68x = 96,638,002.56
  5. Step 5: Solve for x
    x = 96,638,002.56/10,723.68
  6. Step 6: Final answer
    x = 9,011.65

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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.