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Finding the Fourth Proportional to 7,054.17, 10,581.54 and 5,819.28

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Solution

The fourth proportional to 7,054.17, 10,581.54 and 5,819.28 is: 8,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.17 : 10,581.54 = 5,819.28 : x
  2. Step 2: Convert to fraction form
    7,054.17/10,581.54 = 5,819.28/x
  3. Step 3: Cross multiply
    7,054.17x = 10,581.54 × 5,819.28
  4. Step 4: Simplify right side
    7,054.17x = 61,576,944.09
  5. Step 5: Solve for x
    x = 61,576,944.09/7,054.17
  6. Step 6: Final answer
    x = 8,729.16

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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.