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Finding the Fourth Proportional to 11,022.95, 15,211.80 and 5,987.18

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Solution

The fourth proportional to 11,022.95, 15,211.80 and 5,987.18 is: 8,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.95 : 15,211.80 = 5,987.18 : x
  2. Step 2: Convert to fraction form
    11,022.95/15,211.80 = 5,987.18/x
  3. Step 3: Cross multiply
    11,022.95x = 15,211.80 × 5,987.18
  4. Step 4: Simplify right side
    11,022.95x = 91,075,784.72
  5. Step 5: Solve for x
    x = 91,075,784.72/11,022.95
  6. Step 6: Final answer
    x = 8,262.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.