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Finding the Fourth Proportional to 7,503.90, 11,248.97 and 2,883.42

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Solution

The fourth proportional to 7,503.90, 11,248.97 and 2,883.42 is: 4,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.90 : 11,248.97 = 2,883.42 : x
  2. Step 2: Convert to fraction form
    7,503.90/11,248.97 = 2,883.42/x
  3. Step 3: Cross multiply
    7,503.90x = 11,248.97 × 2,883.42
  4. Step 4: Simplify right side
    7,503.90x = 32,435,505.08
  5. Step 5: Solve for x
    x = 32,435,505.08/7,503.90
  6. Step 6: Final answer
    x = 4,322.49

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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.