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Finding the Fourth Proportional to 11,047.06, 15,254.67 and 7,518.70

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Solution

The fourth proportional to 11,047.06, 15,254.67 and 7,518.70 is: 10,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.06 : 15,254.67 = 7,518.70 : x
  2. Step 2: Convert to fraction form
    11,047.06/15,254.67 = 7,518.70/x
  3. Step 3: Cross multiply
    11,047.06x = 15,254.67 × 7,518.70
  4. Step 4: Simplify right side
    11,047.06x = 114,695,287.33
  5. Step 5: Solve for x
    x = 114,695,287.33/11,047.06
  6. Step 6: Final answer
    x = 10,382.43

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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.