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Finding the Fourth Proportional to 10,967.74, 16,458.36 and 5,124.94

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Solution

The fourth proportional to 10,967.74, 16,458.36 and 5,124.94 is: 7,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.74 : 16,458.36 = 5,124.94 : x
  2. Step 2: Convert to fraction form
    10,967.74/16,458.36 = 5,124.94/x
  3. Step 3: Cross multiply
    10,967.74x = 16,458.36 × 5,124.94
  4. Step 4: Simplify right side
    10,967.74x = 84,348,107.50
  5. Step 5: Solve for x
    x = 84,348,107.50/10,967.74
  6. Step 6: Final answer
    x = 7,690.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.