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Finding the Fourth Proportional to 10,243.62, 15,362.19 and 3,316.50

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Solution

The fourth proportional to 10,243.62, 15,362.19 and 3,316.50 is: 4,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.62 : 15,362.19 = 3,316.50 : x
  2. Step 2: Convert to fraction form
    10,243.62/15,362.19 = 3,316.50/x
  3. Step 3: Cross multiply
    10,243.62x = 15,362.19 × 3,316.50
  4. Step 4: Simplify right side
    10,243.62x = 50,948,703.14
  5. Step 5: Solve for x
    x = 50,948,703.14/10,243.62
  6. Step 6: Final answer
    x = 4,973.70

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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.