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Finding the Fourth Proportional to 8,214.44, 11,336.98 and 4,678.92

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Solution

The fourth proportional to 8,214.44, 11,336.98 and 4,678.92 is: 6,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.44 : 11,336.98 = 4,678.92 : x
  2. Step 2: Convert to fraction form
    8,214.44/11,336.98 = 4,678.92/x
  3. Step 3: Cross multiply
    8,214.44x = 11,336.98 × 4,678.92
  4. Step 4: Simplify right side
    8,214.44x = 53,044,822.46
  5. Step 5: Solve for x
    x = 53,044,822.46/8,214.44
  6. Step 6: Final answer
    x = 6,457.51

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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.