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Finding the Fourth Proportional to 8,175.71, 11,284.79 and 4,820.46

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Solution

The fourth proportional to 8,175.71, 11,284.79 and 4,820.46 is: 6,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.71 : 11,284.79 = 4,820.46 : x
  2. Step 2: Convert to fraction form
    8,175.71/11,284.79 = 4,820.46/x
  3. Step 3: Cross multiply
    8,175.71x = 11,284.79 × 4,820.46
  4. Step 4: Simplify right side
    8,175.71x = 54,397,854.70
  5. Step 5: Solve for x
    x = 54,397,854.70/8,175.71
  6. Step 6: Final answer
    x = 6,653.60

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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.