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Finding the Fourth Proportional to 11,966.29, 17,957.63 and 4,175.10

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Solution

The fourth proportional to 11,966.29, 17,957.63 and 4,175.10 is: 6,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.29 : 17,957.63 = 4,175.10 : x
  2. Step 2: Convert to fraction form
    11,966.29/17,957.63 = 4,175.10/x
  3. Step 3: Cross multiply
    11,966.29x = 17,957.63 × 4,175.10
  4. Step 4: Simplify right side
    11,966.29x = 74,974,901.01
  5. Step 5: Solve for x
    x = 74,974,901.01/11,966.29
  6. Step 6: Final answer
    x = 6,265.51

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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.