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Finding the Fourth Proportional to 10,814.86, 16,209.26 and 7,068.41

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Solution

The fourth proportional to 10,814.86, 16,209.26 and 7,068.41 is: 10,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.86 : 16,209.26 = 7,068.41 : x
  2. Step 2: Convert to fraction form
    10,814.86/16,209.26 = 7,068.41/x
  3. Step 3: Cross multiply
    10,814.86x = 16,209.26 × 7,068.41
  4. Step 4: Simplify right side
    10,814.86x = 114,573,695.48
  5. Step 5: Solve for x
    x = 114,573,695.48/10,814.86
  6. Step 6: Final answer
    x = 10,594.10

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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.