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Finding the Fourth Proportional to 8,530.46, 11,767.52 and 5,873.28

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Solution

The fourth proportional to 8,530.46, 11,767.52 and 5,873.28 is: 8,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.46 : 11,767.52 = 5,873.28 : x
  2. Step 2: Convert to fraction form
    8,530.46/11,767.52 = 5,873.28/x
  3. Step 3: Cross multiply
    8,530.46x = 11,767.52 × 5,873.28
  4. Step 4: Simplify right side
    8,530.46x = 69,113,939.87
  5. Step 5: Solve for x
    x = 69,113,939.87/8,530.46
  6. Step 6: Final answer
    x = 8,102.02

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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.