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Finding the Fourth Proportional to 7,499.88, 11,250 and 2,569.50

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Solution

The fourth proportional to 7,499.88, 11,250 and 2,569.50 is: 3,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.88 : 11,250 = 2,569.50 : x
  2. Step 2: Convert to fraction form
    7,499.88/11,250 = 2,569.50/x
  3. Step 3: Cross multiply
    7,499.88x = 11,250 × 2,569.50
  4. Step 4: Simplify right side
    7,499.88x = 28,906,875
  5. Step 5: Solve for x
    x = 28,906,875/7,499.88
  6. Step 6: Final answer
    x = 3,854.31

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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.