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Finding the Fourth Proportional to 11,145.12, 15,387.84 and 8,506.08

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Solution

The fourth proportional to 11,145.12, 15,387.84 and 8,506.08 is: 11,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.12 : 15,387.84 = 8,506.08 : x
  2. Step 2: Convert to fraction form
    11,145.12/15,387.84 = 8,506.08/x
  3. Step 3: Cross multiply
    11,145.12x = 15,387.84 × 8,506.08
  4. Step 4: Simplify right side
    11,145.12x = 130,890,198.07
  5. Step 5: Solve for x
    x = 130,890,198.07/11,145.12
  6. Step 6: Final answer
    x = 11,744.17

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