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Finding the Fourth Proportional to 11,322, 15,624.54 and 6,354

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Solution

The fourth proportional to 11,322, 15,624.54 and 6,354 is: 8,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322 : 15,624.54 = 6,354 : x
  2. Step 2: Convert to fraction form
    11,322/15,624.54 = 6,354/x
  3. Step 3: Cross multiply
    11,322x = 15,624.54 × 6,354
  4. Step 4: Simplify right side
    11,322x = 99,278,327.16
  5. Step 5: Solve for x
    x = 99,278,327.16/11,322
  6. Step 6: Final answer
    x = 8,768.62

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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.