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Finding the Fourth Proportional to 11,421.82, 15,764.75 and 7,435.99

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Solution

The fourth proportional to 11,421.82, 15,764.75 and 7,435.99 is: 10,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.82 : 15,764.75 = 7,435.99 : x
  2. Step 2: Convert to fraction form
    11,421.82/15,764.75 = 7,435.99/x
  3. Step 3: Cross multiply
    11,421.82x = 15,764.75 × 7,435.99
  4. Step 4: Simplify right side
    11,421.82x = 117,226,523.35
  5. Step 5: Solve for x
    x = 117,226,523.35/11,421.82
  6. Step 6: Final answer
    x = 10,263.38

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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.