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Finding the Fourth Proportional to 8,013.12, 11,057.80 and 4,476.16

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Solution

The fourth proportional to 8,013.12, 11,057.80 and 4,476.16 is: 6,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.12 : 11,057.80 = 4,476.16 : x
  2. Step 2: Convert to fraction form
    8,013.12/11,057.80 = 4,476.16/x
  3. Step 3: Cross multiply
    8,013.12x = 11,057.80 × 4,476.16
  4. Step 4: Simplify right side
    8,013.12x = 49,496,482.05
  5. Step 5: Solve for x
    x = 49,496,482.05/8,013.12
  6. Step 6: Final answer
    x = 6,176.93

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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.