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Finding the Fourth Proportional to 8,690.97, 13,036.47 and 2,117.16

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Solution

The fourth proportional to 8,690.97, 13,036.47 and 2,117.16 is: 3,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.97 : 13,036.47 = 2,117.16 : x
  2. Step 2: Convert to fraction form
    8,690.97/13,036.47 = 2,117.16/x
  3. Step 3: Cross multiply
    8,690.97x = 13,036.47 × 2,117.16
  4. Step 4: Simplify right side
    8,690.97x = 27,600,292.83
  5. Step 5: Solve for x
    x = 27,600,292.83/8,690.97
  6. Step 6: Final answer
    x = 3,175.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.