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Finding the Fourth Proportional to 12,160.01, 16,784 and 7,922.70

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Solution

The fourth proportional to 12,160.01, 16,784 and 7,922.70 is: 10,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.01 : 16,784 = 7,922.70 : x
  2. Step 2: Convert to fraction form
    12,160.01/16,784 = 7,922.70/x
  3. Step 3: Cross multiply
    12,160.01x = 16,784 × 7,922.70
  4. Step 4: Simplify right side
    12,160.01x = 132,974,596.80
  5. Step 5: Solve for x
    x = 132,974,596.80/12,160.01
  6. Step 6: Final answer
    x = 10,935.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.