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Finding the Fourth Proportional to 11,492.32, 15,861.02 and 6,713.84

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Solution

The fourth proportional to 11,492.32, 15,861.02 and 6,713.84 is: 9,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.32 : 15,861.02 = 6,713.84 : x
  2. Step 2: Convert to fraction form
    11,492.32/15,861.02 = 6,713.84/x
  3. Step 3: Cross multiply
    11,492.32x = 15,861.02 × 6,713.84
  4. Step 4: Simplify right side
    11,492.32x = 106,488,350.52
  5. Step 5: Solve for x
    x = 106,488,350.52/11,492.32
  6. Step 6: Final answer
    x = 9,266.04

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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.