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Finding the Fourth Proportional to 10,993.96, 16,473.93 and 8,389

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Solution

The fourth proportional to 10,993.96, 16,473.93 and 8,389 is: 12,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.96 : 16,473.93 = 8,389 : x
  2. Step 2: Convert to fraction form
    10,993.96/16,473.93 = 8,389/x
  3. Step 3: Cross multiply
    10,993.96x = 16,473.93 × 8,389
  4. Step 4: Simplify right side
    10,993.96x = 138,199,798.77
  5. Step 5: Solve for x
    x = 138,199,798.77/10,993.96
  6. Step 6: Final answer
    x = 12,570.52

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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.