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Finding the Fourth Proportional to 10,622.34, 15,933.38 and 4,774.82

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Solution

The fourth proportional to 10,622.34, 15,933.38 and 4,774.82 is: 7,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.34 : 15,933.38 = 4,774.82 : x
  2. Step 2: Convert to fraction form
    10,622.34/15,933.38 = 4,774.82/x
  3. Step 3: Cross multiply
    10,622.34x = 15,933.38 × 4,774.82
  4. Step 4: Simplify right side
    10,622.34x = 76,078,917.95
  5. Step 5: Solve for x
    x = 76,078,917.95/10,622.34
  6. Step 6: Final answer
    x = 7,162.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.