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Finding the Fourth Proportional to 8,011.92, 11,056.32 and 4,475.16

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Solution

The fourth proportional to 8,011.92, 11,056.32 and 4,475.16 is: 6,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.92 : 11,056.32 = 4,475.16 : x
  2. Step 2: Convert to fraction form
    8,011.92/11,056.32 = 4,475.16/x
  3. Step 3: Cross multiply
    8,011.92x = 11,056.32 × 4,475.16
  4. Step 4: Simplify right side
    8,011.92x = 49,478,801.01
  5. Step 5: Solve for x
    x = 49,478,801.01/8,011.92
  6. Step 6: Final answer
    x = 6,175.65

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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.