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Finding the Fourth Proportional to 11,703.43, 16,151.09 and 6,398.53

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Solution

The fourth proportional to 11,703.43, 16,151.09 and 6,398.53 is: 8,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.43 : 16,151.09 = 6,398.53 : x
  2. Step 2: Convert to fraction form
    11,703.43/16,151.09 = 6,398.53/x
  3. Step 3: Cross multiply
    11,703.43x = 16,151.09 × 6,398.53
  4. Step 4: Simplify right side
    11,703.43x = 103,343,233.90
  5. Step 5: Solve for x
    x = 103,343,233.90/11,703.43
  6. Step 6: Final answer
    x = 8,830.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.