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Finding the Fourth Proportional to 7,993.12, 11,909.36 and 7,546

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Solution

The fourth proportional to 7,993.12, 11,909.36 and 7,546 is: 11,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.12 : 11,909.36 = 7,546 : x
  2. Step 2: Convert to fraction form
    7,993.12/11,909.36 = 7,546/x
  3. Step 3: Cross multiply
    7,993.12x = 11,909.36 × 7,546
  4. Step 4: Simplify right side
    7,993.12x = 89,868,030.56
  5. Step 5: Solve for x
    x = 89,868,030.56/7,993.12
  6. Step 6: Final answer
    x = 11,243.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.