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Finding the Fourth Proportional to 6,585.98, 9,088.66 and 4,067.51

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Solution

The fourth proportional to 6,585.98, 9,088.66 and 4,067.51 is: 5,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.98 : 9,088.66 = 4,067.51 : x
  2. Step 2: Convert to fraction form
    6,585.98/9,088.66 = 4,067.51/x
  3. Step 3: Cross multiply
    6,585.98x = 9,088.66 × 4,067.51
  4. Step 4: Simplify right side
    6,585.98x = 36,968,175.08
  5. Step 5: Solve for x
    x = 36,968,175.08/6,585.98
  6. Step 6: Final answer
    x = 5,613.17

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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.