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Finding the Fourth Proportional to 8,492.86, 11,721.53 and 4,717.24

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Solution

The fourth proportional to 8,492.86, 11,721.53 and 4,717.24 is: 6,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.86 : 11,721.53 = 4,717.24 : x
  2. Step 2: Convert to fraction form
    8,492.86/11,721.53 = 4,717.24/x
  3. Step 3: Cross multiply
    8,492.86x = 11,721.53 × 4,717.24
  4. Step 4: Simplify right side
    8,492.86x = 55,293,270.18
  5. Step 5: Solve for x
    x = 55,293,270.18/8,492.86
  6. Step 6: Final answer
    x = 6,510.56

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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.