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Finding the Fourth Proportional to 11,375.80, 17,066.10 and 3,585.16

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Solution

The fourth proportional to 11,375.80, 17,066.10 and 3,585.16 is: 5,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.80 : 17,066.10 = 3,585.16 : x
  2. Step 2: Convert to fraction form
    11,375.80/17,066.10 = 3,585.16/x
  3. Step 3: Cross multiply
    11,375.80x = 17,066.10 × 3,585.16
  4. Step 4: Simplify right side
    11,375.80x = 61,184,699.08
  5. Step 5: Solve for x
    x = 61,184,699.08/11,375.80
  6. Step 6: Final answer
    x = 5,378.50

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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.