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Finding the Fourth Proportional to 11,952.95, 17,933.06 and 6,113.66

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Solution

The fourth proportional to 11,952.95, 17,933.06 and 6,113.66 is: 9,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.95 : 17,933.06 = 6,113.66 : x
  2. Step 2: Convert to fraction form
    11,952.95/17,933.06 = 6,113.66/x
  3. Step 3: Cross multiply
    11,952.95x = 17,933.06 × 6,113.66
  4. Step 4: Simplify right side
    11,952.95x = 109,636,557.22
  5. Step 5: Solve for x
    x = 109,636,557.22/11,952.95
  6. Step 6: Final answer
    x = 9,172.35

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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.