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Finding the Fourth Proportional to 11,833.79, 16,330.17 and 7,356.51

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Solution

The fourth proportional to 11,833.79, 16,330.17 and 7,356.51 is: 10,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.79 : 16,330.17 = 7,356.51 : x
  2. Step 2: Convert to fraction form
    11,833.79/16,330.17 = 7,356.51/x
  3. Step 3: Cross multiply
    11,833.79x = 16,330.17 × 7,356.51
  4. Step 4: Simplify right side
    11,833.79x = 120,133,086.49
  5. Step 5: Solve for x
    x = 120,133,086.49/11,833.79
  6. Step 6: Final answer
    x = 10,151.70

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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.