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Finding the Fourth Proportional to 10,666.86, 16,014.15 and 8,203.43

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Solution

The fourth proportional to 10,666.86, 16,014.15 and 8,203.43 is: 12,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.86 : 16,014.15 = 8,203.43 : x
  2. Step 2: Convert to fraction form
    10,666.86/16,014.15 = 8,203.43/x
  3. Step 3: Cross multiply
    10,666.86x = 16,014.15 × 8,203.43
  4. Step 4: Simplify right side
    10,666.86x = 131,370,878.46
  5. Step 5: Solve for x
    x = 131,370,878.46/10,666.86
  6. Step 6: Final answer
    x = 12,315.80

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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.