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Finding the Fourth Proportional to 11,646.80, 16,076.04 and 7,176.95

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Solution

The fourth proportional to 11,646.80, 16,076.04 and 7,176.95 is: 9,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.80 : 16,076.04 = 7,176.95 : x
  2. Step 2: Convert to fraction form
    11,646.80/16,076.04 = 7,176.95/x
  3. Step 3: Cross multiply
    11,646.80x = 16,076.04 × 7,176.95
  4. Step 4: Simplify right side
    11,646.80x = 115,376,935.28
  5. Step 5: Solve for x
    x = 115,376,935.28/11,646.80
  6. Step 6: Final answer
    x = 9,906.32

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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.