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Finding the Fourth Proportional to 7,502.54, 11,241.47 and 2,569.48

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Solution

The fourth proportional to 7,502.54, 11,241.47 and 2,569.48 is: 3,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.54 : 11,241.47 = 2,569.48 : x
  2. Step 2: Convert to fraction form
    7,502.54/11,241.47 = 2,569.48/x
  3. Step 3: Cross multiply
    7,502.54x = 11,241.47 × 2,569.48
  4. Step 4: Simplify right side
    7,502.54x = 28,884,710.66
  5. Step 5: Solve for x
    x = 28,884,710.66/7,502.54
  6. Step 6: Final answer
    x = 3,849.99

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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.