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Finding the Fourth Proportional to 11,492.18, 15,859.14 and 6,456.41

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Solution

The fourth proportional to 11,492.18, 15,859.14 and 6,456.41 is: 8,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.18 : 15,859.14 = 6,456.41 : x
  2. Step 2: Convert to fraction form
    11,492.18/15,859.14 = 6,456.41/x
  3. Step 3: Cross multiply
    11,492.18x = 15,859.14 × 6,456.41
  4. Step 4: Simplify right side
    11,492.18x = 102,393,110.09
  5. Step 5: Solve for x
    x = 102,393,110.09/11,492.18
  6. Step 6: Final answer
    x = 8,909.81

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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.