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Finding the Fourth Proportional to 10,531.99, 15,785.83 and 3,953.98

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Solution

The fourth proportional to 10,531.99, 15,785.83 and 3,953.98 is: 5,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.99 : 15,785.83 = 3,953.98 : x
  2. Step 2: Convert to fraction form
    10,531.99/15,785.83 = 3,953.98/x
  3. Step 3: Cross multiply
    10,531.99x = 15,785.83 × 3,953.98
  4. Step 4: Simplify right side
    10,531.99x = 62,416,856.10
  5. Step 5: Solve for x
    x = 62,416,856.10/10,531.99
  6. Step 6: Final answer
    x = 5,926.41

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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.