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Finding the Fourth Proportional to 7,443.76, 10,272 and 5,086.48

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Solution

The fourth proportional to 7,443.76, 10,272 and 5,086.48 is: 7,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.76 : 10,272 = 5,086.48 : x
  2. Step 2: Convert to fraction form
    7,443.76/10,272 = 5,086.48/x
  3. Step 3: Cross multiply
    7,443.76x = 10,272 × 5,086.48
  4. Step 4: Simplify right side
    7,443.76x = 52,248,322.56
  5. Step 5: Solve for x
    x = 52,248,322.56/7,443.76
  6. Step 6: Final answer
    x = 7,019.08

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