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Finding the Fourth Proportional to 8,009.72, 11,040.19 and 5,356.16

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Solution

The fourth proportional to 8,009.72, 11,040.19 and 5,356.16 is: 7,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.72 : 11,040.19 = 5,356.16 : x
  2. Step 2: Convert to fraction form
    8,009.72/11,040.19 = 5,356.16/x
  3. Step 3: Cross multiply
    8,009.72x = 11,040.19 × 5,356.16
  4. Step 4: Simplify right side
    8,009.72x = 59,133,024.07
  5. Step 5: Solve for x
    x = 59,133,024.07/8,009.72
  6. Step 6: Final answer
    x = 7,382.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.