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Finding the Fourth Proportional to 10,099.61, 15,146.99 and 4,253.03

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Solution

The fourth proportional to 10,099.61, 15,146.99 and 4,253.03 is: 6,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.61 : 15,146.99 = 4,253.03 : x
  2. Step 2: Convert to fraction form
    10,099.61/15,146.99 = 4,253.03/x
  3. Step 3: Cross multiply
    10,099.61x = 15,146.99 × 4,253.03
  4. Step 4: Simplify right side
    10,099.61x = 64,420,581.61
  5. Step 5: Solve for x
    x = 64,420,581.61/10,099.61
  6. Step 6: Final answer
    x = 6,378.52

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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.