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Finding the Fourth Proportional to 10,966.80, 16,431.30 and 5,111.40

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Solution

The fourth proportional to 10,966.80, 16,431.30 and 5,111.40 is: 7,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.80 : 16,431.30 = 5,111.40 : x
  2. Step 2: Convert to fraction form
    10,966.80/16,431.30 = 5,111.40/x
  3. Step 3: Cross multiply
    10,966.80x = 16,431.30 × 5,111.40
  4. Step 4: Simplify right side
    10,966.80x = 83,986,946.82
  5. Step 5: Solve for x
    x = 83,986,946.82/10,966.80
  6. Step 6: Final answer
    x = 7,658.29

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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.