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Finding the Fourth Proportional to 10,519.37, 14,494.78 and 7,156.34

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Solution

The fourth proportional to 10,519.37, 14,494.78 and 7,156.34 is: 9,860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.37 : 14,494.78 = 7,156.34 : x
  2. Step 2: Convert to fraction form
    10,519.37/14,494.78 = 7,156.34/x
  3. Step 3: Cross multiply
    10,519.37x = 14,494.78 × 7,156.34
  4. Step 4: Simplify right side
    10,519.37x = 103,729,573.91
  5. Step 5: Solve for x
    x = 103,729,573.91/10,519.37
  6. Step 6: Final answer
    x = 9,860.82

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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.