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Finding the Fourth Proportional to 8,324.56, 11,492.60 and 5,776

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Solution

The fourth proportional to 8,324.56, 11,492.60 and 5,776 is: 7,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.56 : 11,492.60 = 5,776 : x
  2. Step 2: Convert to fraction form
    8,324.56/11,492.60 = 5,776/x
  3. Step 3: Cross multiply
    8,324.56x = 11,492.60 × 5,776
  4. Step 4: Simplify right side
    8,324.56x = 66,381,257.60
  5. Step 5: Solve for x
    x = 66,381,257.60/8,324.56
  6. Step 6: Final answer
    x = 7,974.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.