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Finding the Fourth Proportional to 11,756.28, 16,203.47 and 11,202.65

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Solution

The fourth proportional to 11,756.28, 16,203.47 and 11,202.65 is: 15,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.28 : 16,203.47 = 11,202.65 : x
  2. Step 2: Convert to fraction form
    11,756.28/16,203.47 = 11,202.65/x
  3. Step 3: Cross multiply
    11,756.28x = 16,203.47 × 11,202.65
  4. Step 4: Simplify right side
    11,756.28x = 181,521,666.16
  5. Step 5: Solve for x
    x = 181,521,666.16/11,756.28
  6. Step 6: Final answer
    x = 15,440.40

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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.