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Finding the Fourth Proportional to 7,498.56, 11,254.70 and 3,803.34

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Solution

The fourth proportional to 7,498.56, 11,254.70 and 3,803.34 is: 5,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.56 : 11,254.70 = 3,803.34 : x
  2. Step 2: Convert to fraction form
    7,498.56/11,254.70 = 3,803.34/x
  3. Step 3: Cross multiply
    7,498.56x = 11,254.70 × 3,803.34
  4. Step 4: Simplify right side
    7,498.56x = 42,805,431.68
  5. Step 5: Solve for x
    x = 42,805,431.68/7,498.56
  6. Step 6: Final answer
    x = 5,708.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.