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Finding the Fourth Proportional to 10,496.56, 15,710.82 and 7,722.64

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Solution

The fourth proportional to 10,496.56, 15,710.82 and 7,722.64 is: 11,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.56 : 15,710.82 = 7,722.64 : x
  2. Step 2: Convert to fraction form
    10,496.56/15,710.82 = 7,722.64/x
  3. Step 3: Cross multiply
    10,496.56x = 15,710.82 × 7,722.64
  4. Step 4: Simplify right side
    10,496.56x = 121,329,006.96
  5. Step 5: Solve for x
    x = 121,329,006.96/10,496.56
  6. Step 6: Final answer
    x = 11,558.93

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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.