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Finding the Fourth Proportional to 11,966.76, 17,939.88 and 4,566

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Solution

The fourth proportional to 11,966.76, 17,939.88 and 4,566 is: 6,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.76 : 17,939.88 = 4,566 : x
  2. Step 2: Convert to fraction form
    11,966.76/17,939.88 = 4,566/x
  3. Step 3: Cross multiply
    11,966.76x = 17,939.88 × 4,566
  4. Step 4: Simplify right side
    11,966.76x = 81,913,492.08
  5. Step 5: Solve for x
    x = 81,913,492.08/11,966.76
  6. Step 6: Final answer
    x = 6,845.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.