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Finding the Fourth Proportional to 7,560.14, 10,433.01 and 4,203.17

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Solution

The fourth proportional to 7,560.14, 10,433.01 and 4,203.17 is: 5,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.14 : 10,433.01 = 4,203.17 : x
  2. Step 2: Convert to fraction form
    7,560.14/10,433.01 = 4,203.17/x
  3. Step 3: Cross multiply
    7,560.14x = 10,433.01 × 4,203.17
  4. Step 4: Simplify right side
    7,560.14x = 43,851,662.48
  5. Step 5: Solve for x
    x = 43,851,662.48/7,560.14
  6. Step 6: Final answer
    x = 5,800.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.