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Finding the Fourth Proportional to 8,214.69, 11,336.68 and 5,026.99

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Solution

The fourth proportional to 8,214.69, 11,336.68 and 5,026.99 is: 6,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.69 : 11,336.68 = 5,026.99 : x
  2. Step 2: Convert to fraction form
    8,214.69/11,336.68 = 5,026.99/x
  3. Step 3: Cross multiply
    8,214.69x = 11,336.68 × 5,026.99
  4. Step 4: Simplify right side
    8,214.69x = 56,989,358.45
  5. Step 5: Solve for x
    x = 56,989,358.45/8,214.69
  6. Step 6: Final answer
    x = 6,937.49

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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.