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Finding the Fourth Proportional to 11,156.73, 16,711.76 and 6,700.24

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Solution

The fourth proportional to 11,156.73, 16,711.76 and 6,700.24 is: 10,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,156.73 : 16,711.76 = 6,700.24 : x
  2. Step 2: Convert to fraction form
    11,156.73/16,711.76 = 6,700.24/x
  3. Step 3: Cross multiply
    11,156.73x = 16,711.76 × 6,700.24
  4. Step 4: Simplify right side
    11,156.73x = 111,972,802.82
  5. Step 5: Solve for x
    x = 111,972,802.82/11,156.73
  6. Step 6: Final answer
    x = 10,036.35

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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.