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Finding the Fourth Proportional to 10,223.57, 15,341.31 and 4,300.03

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Solution

The fourth proportional to 10,223.57, 15,341.31 and 4,300.03 is: 6,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.57 : 15,341.31 = 4,300.03 : x
  2. Step 2: Convert to fraction form
    10,223.57/15,341.31 = 4,300.03/x
  3. Step 3: Cross multiply
    10,223.57x = 15,341.31 × 4,300.03
  4. Step 4: Simplify right side
    10,223.57x = 65,968,093.24
  5. Step 5: Solve for x
    x = 65,968,093.24/10,223.57
  6. Step 6: Final answer
    x = 6,452.55

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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.