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Finding the Fourth Proportional to 12,690.62, 17,510.58 and 7,972.17

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Solution

The fourth proportional to 12,690.62, 17,510.58 and 7,972.17 is: 11,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.62 : 17,510.58 = 7,972.17 : x
  2. Step 2: Convert to fraction form
    12,690.62/17,510.58 = 7,972.17/x
  3. Step 3: Cross multiply
    12,690.62x = 17,510.58 × 7,972.17
  4. Step 4: Simplify right side
    12,690.62x = 139,597,353.39
  5. Step 5: Solve for x
    x = 139,597,353.39/12,690.62
  6. Step 6: Final answer
    x = 11,000.04

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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.