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Finding the Fourth Proportional to 10,422.32, 15,622.68 and 7,817.36

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Solution

The fourth proportional to 10,422.32, 15,622.68 and 7,817.36 is: 11,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.32 : 15,622.68 = 7,817.36 : x
  2. Step 2: Convert to fraction form
    10,422.32/15,622.68 = 7,817.36/x
  3. Step 3: Cross multiply
    10,422.32x = 15,622.68 × 7,817.36
  4. Step 4: Simplify right side
    10,422.32x = 122,128,113.72
  5. Step 5: Solve for x
    x = 122,128,113.72/10,422.32
  6. Step 6: Final answer
    x = 11,717.94

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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.