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Finding the Fourth Proportional to 11,002.64, 15,182.03 and 6,286.01

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Solution

The fourth proportional to 11,002.64, 15,182.03 and 6,286.01 is: 8,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.64 : 15,182.03 = 6,286.01 : x
  2. Step 2: Convert to fraction form
    11,002.64/15,182.03 = 6,286.01/x
  3. Step 3: Cross multiply
    11,002.64x = 15,182.03 × 6,286.01
  4. Step 4: Simplify right side
    11,002.64x = 95,434,332.21
  5. Step 5: Solve for x
    x = 95,434,332.21/11,002.64
  6. Step 6: Final answer
    x = 8,673.77

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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.