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Finding the Fourth Proportional to 10,099.36, 15,141.48 and 6,803.20

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Solution

The fourth proportional to 10,099.36, 15,141.48 and 6,803.20 is: 10,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.36 : 15,141.48 = 6,803.20 : x
  2. Step 2: Convert to fraction form
    10,099.36/15,141.48 = 6,803.20/x
  3. Step 3: Cross multiply
    10,099.36x = 15,141.48 × 6,803.20
  4. Step 4: Simplify right side
    10,099.36x = 103,010,516.74
  5. Step 5: Solve for x
    x = 103,010,516.74/10,099.36
  6. Step 6: Final answer
    x = 10,199.71

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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.