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Finding the Fourth Proportional to 10,396.64, 15,585.66 and 3,821.28

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Solution

The fourth proportional to 10,396.64, 15,585.66 and 3,821.28 is: 5,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.64 : 15,585.66 = 3,821.28 : x
  2. Step 2: Convert to fraction form
    10,396.64/15,585.66 = 3,821.28/x
  3. Step 3: Cross multiply
    10,396.64x = 15,585.66 × 3,821.28
  4. Step 4: Simplify right side
    10,396.64x = 59,557,170.84
  5. Step 5: Solve for x
    x = 59,557,170.84/10,396.64
  6. Step 6: Final answer
    x = 5,728.50

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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.