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Finding the Fourth Proportional to 10,497.36, 15,743.88 and 3,099.84

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Solution

The fourth proportional to 10,497.36, 15,743.88 and 3,099.84 is: 4,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.36 : 15,743.88 = 3,099.84 : x
  2. Step 2: Convert to fraction form
    10,497.36/15,743.88 = 3,099.84/x
  3. Step 3: Cross multiply
    10,497.36x = 15,743.88 × 3,099.84
  4. Step 4: Simplify right side
    10,497.36x = 48,803,508.98
  5. Step 5: Solve for x
    x = 48,803,508.98/10,497.36
  6. Step 6: Final answer
    x = 4,649.12

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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.