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Finding the Fourth Proportional to 8,706.48, 11,988.72 and 7,872.90

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Solution

The fourth proportional to 8,706.48, 11,988.72 and 7,872.90 is: 10,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.48 : 11,988.72 = 7,872.90 : x
  2. Step 2: Convert to fraction form
    8,706.48/11,988.72 = 7,872.90/x
  3. Step 3: Cross multiply
    8,706.48x = 11,988.72 × 7,872.90
  4. Step 4: Simplify right side
    8,706.48x = 94,385,993.69
  5. Step 5: Solve for x
    x = 94,385,993.69/8,706.48
  6. Step 6: Final answer
    x = 10,840.89

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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.