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Finding the Fourth Proportional to 8,689.06, 11,987.76 and 5,706.51

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Solution

The fourth proportional to 8,689.06, 11,987.76 and 5,706.51 is: 7,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.06 : 11,987.76 = 5,706.51 : x
  2. Step 2: Convert to fraction form
    8,689.06/11,987.76 = 5,706.51/x
  3. Step 3: Cross multiply
    8,689.06x = 11,987.76 × 5,706.51
  4. Step 4: Simplify right side
    8,689.06x = 68,408,272.32
  5. Step 5: Solve for x
    x = 68,408,272.32/8,689.06
  6. Step 6: Final answer
    x = 7,872.92

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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.