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Finding the Fourth Proportional to 10,497.24, 15,741.12 and 3,099.12

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Solution

The fourth proportional to 10,497.24, 15,741.12 and 3,099.12 is: 4,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.24 : 15,741.12 = 3,099.12 : x
  2. Step 2: Convert to fraction form
    10,497.24/15,741.12 = 3,099.12/x
  3. Step 3: Cross multiply
    10,497.24x = 15,741.12 × 3,099.12
  4. Step 4: Simplify right side
    10,497.24x = 48,783,619.81
  5. Step 5: Solve for x
    x = 48,783,619.81/10,497.24
  6. Step 6: Final answer
    x = 4,647.28

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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.