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Finding the Fourth Proportional to 11,492.42, 15,861.02 and 6,777

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Solution

The fourth proportional to 11,492.42, 15,861.02 and 6,777 is: 9,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.42 : 15,861.02 = 6,777 : x
  2. Step 2: Convert to fraction form
    11,492.42/15,861.02 = 6,777/x
  3. Step 3: Cross multiply
    11,492.42x = 15,861.02 × 6,777
  4. Step 4: Simplify right side
    11,492.42x = 107,490,098.66
  5. Step 5: Solve for x
    x = 107,490,098.66/11,492.42
  6. Step 6: Final answer
    x = 9,353.13

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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.