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Finding the Fourth Proportional to 8,284.71, 11,429.01 and 4,927.62

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Solution

The fourth proportional to 8,284.71, 11,429.01 and 4,927.62 is: 6,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.71 : 11,429.01 = 4,927.62 : x
  2. Step 2: Convert to fraction form
    8,284.71/11,429.01 = 4,927.62/x
  3. Step 3: Cross multiply
    8,284.71x = 11,429.01 × 4,927.62
  4. Step 4: Simplify right side
    8,284.71x = 56,317,818.26
  5. Step 5: Solve for x
    x = 56,317,818.26/8,284.71
  6. Step 6: Final answer
    x = 6,797.80

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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.