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Finding the Fourth Proportional to 11,059.29, 15,257.64 and 7,079.76

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Solution

The fourth proportional to 11,059.29, 15,257.64 and 7,079.76 is: 9,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.29 : 15,257.64 = 7,079.76 : x
  2. Step 2: Convert to fraction form
    11,059.29/15,257.64 = 7,079.76/x
  3. Step 3: Cross multiply
    11,059.29x = 15,257.64 × 7,079.76
  4. Step 4: Simplify right side
    11,059.29x = 108,020,429.37
  5. Step 5: Solve for x
    x = 108,020,429.37/11,059.29
  6. Step 6: Final answer
    x = 9,767.39

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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.