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Finding the Fourth Proportional to 11,053.17, 15,254.06 and 6,338.16

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Solution

The fourth proportional to 11,053.17, 15,254.06 and 6,338.16 is: 8,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.17 : 15,254.06 = 6,338.16 : x
  2. Step 2: Convert to fraction form
    11,053.17/15,254.06 = 6,338.16/x
  3. Step 3: Cross multiply
    11,053.17x = 15,254.06 × 6,338.16
  4. Step 4: Simplify right side
    11,053.17x = 96,682,641.24
  5. Step 5: Solve for x
    x = 96,682,641.24/11,053.17
  6. Step 6: Final answer
    x = 8,747.05

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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.