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Finding the Fourth Proportional to 10,219.46, 15,316.82 and 7,253.24

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Solution

The fourth proportional to 10,219.46, 15,316.82 and 7,253.24 is: 10,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.46 : 15,316.82 = 7,253.24 : x
  2. Step 2: Convert to fraction form
    10,219.46/15,316.82 = 7,253.24/x
  3. Step 3: Cross multiply
    10,219.46x = 15,316.82 × 7,253.24
  4. Step 4: Simplify right side
    10,219.46x = 111,096,571.50
  5. Step 5: Solve for x
    x = 111,096,571.50/10,219.46
  6. Step 6: Final answer
    x = 10,871.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.