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Finding the Fourth Proportional to 10,967.74, 16,458.90 and 5,124.81

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Solution

The fourth proportional to 10,967.74, 16,458.90 and 5,124.81 is: 7,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.74 : 16,458.90 = 5,124.81 : x
  2. Step 2: Convert to fraction form
    10,967.74/16,458.90 = 5,124.81/x
  3. Step 3: Cross multiply
    10,967.74x = 16,458.90 × 5,124.81
  4. Step 4: Simplify right side
    10,967.74x = 84,348,735.31
  5. Step 5: Solve for x
    x = 84,348,735.31/10,967.74
  6. Step 6: Final answer
    x = 7,690.62

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