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Finding the Fourth Proportional to 11,492.67, 15,859.64 and 6,456.20

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Solution

The fourth proportional to 11,492.67, 15,859.64 and 6,456.20 is: 8,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.67 : 15,859.64 = 6,456.20 : x
  2. Step 2: Convert to fraction form
    11,492.67/15,859.64 = 6,456.20/x
  3. Step 3: Cross multiply
    11,492.67x = 15,859.64 × 6,456.20
  4. Step 4: Simplify right side
    11,492.67x = 102,392,896.19
  5. Step 5: Solve for x
    x = 102,392,896.19/11,492.67
  6. Step 6: Final answer
    x = 8,909.41

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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.