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Finding the Fourth Proportional to 8,012.64, 11,056.65 and 4,475.78

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Solution

The fourth proportional to 8,012.64, 11,056.65 and 4,475.78 is: 6,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.64 : 11,056.65 = 4,475.78 : x
  2. Step 2: Convert to fraction form
    8,012.64/11,056.65 = 4,475.78/x
  3. Step 3: Cross multiply
    8,012.64x = 11,056.65 × 4,475.78
  4. Step 4: Simplify right side
    8,012.64x = 49,487,077.65
  5. Step 5: Solve for x
    x = 49,487,077.65/8,012.64
  6. Step 6: Final answer
    x = 6,176.13

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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.