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Finding the Fourth Proportional to 10,822, 14,934.36 and 5,854

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Solution

The fourth proportional to 10,822, 14,934.36 and 5,854 is: 8,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822 : 14,934.36 = 5,854 : x
  2. Step 2: Convert to fraction form
    10,822/14,934.36 = 5,854/x
  3. Step 3: Cross multiply
    10,822x = 14,934.36 × 5,854
  4. Step 4: Simplify right side
    10,822x = 87,425,743.44
  5. Step 5: Solve for x
    x = 87,425,743.44/10,822
  6. Step 6: Final answer
    x = 8,078.52

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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.