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Finding the Fourth Proportional to 7,966.08, 11,946.96 and 3,348

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Solution

The fourth proportional to 7,966.08, 11,946.96 and 3,348 is: 5,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.08 : 11,946.96 = 3,348 : x
  2. Step 2: Convert to fraction form
    7,966.08/11,946.96 = 3,348/x
  3. Step 3: Cross multiply
    7,966.08x = 11,946.96 × 3,348
  4. Step 4: Simplify right side
    7,966.08x = 39,998,422.08
  5. Step 5: Solve for x
    x = 39,998,422.08/7,966.08
  6. Step 6: Final answer
    x = 5,021.09

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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.