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Finding the Fourth Proportional to 10,340.22, 15,496.38 and 5,653.20

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Solution

The fourth proportional to 10,340.22, 15,496.38 and 5,653.20 is: 8,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.22 : 15,496.38 = 5,653.20 : x
  2. Step 2: Convert to fraction form
    10,340.22/15,496.38 = 5,653.20/x
  3. Step 3: Cross multiply
    10,340.22x = 15,496.38 × 5,653.20
  4. Step 4: Simplify right side
    10,340.22x = 87,604,135.42
  5. Step 5: Solve for x
    x = 87,604,135.42/10,340.22
  6. Step 6: Final answer
    x = 8,472.17

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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.