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Finding the Fourth Proportional to 11,492.29, 15,859.41 and 6,715.62

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Solution

The fourth proportional to 11,492.29, 15,859.41 and 6,715.62 is: 9,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.29 : 15,859.41 = 6,715.62 : x
  2. Step 2: Convert to fraction form
    11,492.29/15,859.41 = 6,715.62/x
  3. Step 3: Cross multiply
    11,492.29x = 15,859.41 × 6,715.62
  4. Step 4: Simplify right side
    11,492.29x = 106,505,691.69
  5. Step 5: Solve for x
    x = 106,505,691.69/11,492.29
  6. Step 6: Final answer
    x = 9,267.58

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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.