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Finding the Fourth Proportional to 11,737.64, 17,607.09 and 2,972.63

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Solution

The fourth proportional to 11,737.64, 17,607.09 and 2,972.63 is: 4,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.64 : 17,607.09 = 2,972.63 : x
  2. Step 2: Convert to fraction form
    11,737.64/17,607.09 = 2,972.63/x
  3. Step 3: Cross multiply
    11,737.64x = 17,607.09 × 2,972.63
  4. Step 4: Simplify right side
    11,737.64x = 52,339,287.06
  5. Step 5: Solve for x
    x = 52,339,287.06/11,737.64
  6. Step 6: Final answer
    x = 4,459.10

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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.