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Finding the Fourth Proportional to 7,560.65, 10,433.03 and 4,202.39

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Solution

The fourth proportional to 7,560.65, 10,433.03 and 4,202.39 is: 5,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.65 : 10,433.03 = 4,202.39 : x
  2. Step 2: Convert to fraction form
    7,560.65/10,433.03 = 4,202.39/x
  3. Step 3: Cross multiply
    7,560.65x = 10,433.03 × 4,202.39
  4. Step 4: Simplify right side
    7,560.65x = 43,843,587.76
  5. Step 5: Solve for x
    x = 43,843,587.76/7,560.65
  6. Step 6: Final answer
    x = 5,798.92

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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.