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Finding the Fourth Proportional to 7,717.34, 10,650.59 and 6,456.17

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Solution

The fourth proportional to 7,717.34, 10,650.59 and 6,456.17 is: 8,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.34 : 10,650.59 = 6,456.17 : x
  2. Step 2: Convert to fraction form
    7,717.34/10,650.59 = 6,456.17/x
  3. Step 3: Cross multiply
    7,717.34x = 10,650.59 × 6,456.17
  4. Step 4: Simplify right side
    7,717.34x = 68,762,038.20
  5. Step 5: Solve for x
    x = 68,762,038.20/7,717.34
  6. Step 6: Final answer
    x = 8,910.07

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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.