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Finding the Fourth Proportional to 8,284.24, 11,429.18 and 4,927.19

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Solution

The fourth proportional to 8,284.24, 11,429.18 and 4,927.19 is: 6,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.24 : 11,429.18 = 4,927.19 : x
  2. Step 2: Convert to fraction form
    8,284.24/11,429.18 = 4,927.19/x
  3. Step 3: Cross multiply
    8,284.24x = 11,429.18 × 4,927.19
  4. Step 4: Simplify right side
    8,284.24x = 56,313,741.40
  5. Step 5: Solve for x
    x = 56,313,741.40/8,284.24
  6. Step 6: Final answer
    x = 6,797.70

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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.