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Finding the Fourth Proportional to 8,482.76, 11,706.98 and 5,127.24

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Solution

The fourth proportional to 8,482.76, 11,706.98 and 5,127.24 is: 7,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.76 : 11,706.98 = 5,127.24 : x
  2. Step 2: Convert to fraction form
    8,482.76/11,706.98 = 5,127.24/x
  3. Step 3: Cross multiply
    8,482.76x = 11,706.98 × 5,127.24
  4. Step 4: Simplify right side
    8,482.76x = 60,024,496.14
  5. Step 5: Solve for x
    x = 60,024,496.14/8,482.76
  6. Step 6: Final answer
    x = 7,076.06

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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.