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Finding the Fourth Proportional to 10,287.68, 15,429.06 and 4,441.10

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Solution

The fourth proportional to 10,287.68, 15,429.06 and 4,441.10 is: 6,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.68 : 15,429.06 = 4,441.10 : x
  2. Step 2: Convert to fraction form
    10,287.68/15,429.06 = 4,441.10/x
  3. Step 3: Cross multiply
    10,287.68x = 15,429.06 × 4,441.10
  4. Step 4: Simplify right side
    10,287.68x = 68,521,921.22
  5. Step 5: Solve for x
    x = 68,521,921.22/10,287.68
  6. Step 6: Final answer
    x = 6,660.58

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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.