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Finding the Fourth Proportional to 11,966.65, 17,948.09 and 4,569.46

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Solution

The fourth proportional to 11,966.65, 17,948.09 and 4,569.46 is: 6,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.65 : 17,948.09 = 4,569.46 : x
  2. Step 2: Convert to fraction form
    11,966.65/17,948.09 = 4,569.46/x
  3. Step 3: Cross multiply
    11,966.65x = 17,948.09 × 4,569.46
  4. Step 4: Simplify right side
    11,966.65x = 82,013,153.27
  5. Step 5: Solve for x
    x = 82,013,153.27/11,966.65
  6. Step 6: Final answer
    x = 6,853.48

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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.