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Finding the Fourth Proportional to 10,209.50, 15,317.90 and 5,019.02

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Solution

The fourth proportional to 10,209.50, 15,317.90 and 5,019.02 is: 7,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.50 : 15,317.90 = 5,019.02 : x
  2. Step 2: Convert to fraction form
    10,209.50/15,317.90 = 5,019.02/x
  3. Step 3: Cross multiply
    10,209.50x = 15,317.90 × 5,019.02
  4. Step 4: Simplify right side
    10,209.50x = 76,880,846.46
  5. Step 5: Solve for x
    x = 76,880,846.46/10,209.50
  6. Step 6: Final answer
    x = 7,530.32

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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.