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Finding the Fourth Proportional to 7,492.24, 11,231.88 and 2,872

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Solution

The fourth proportional to 7,492.24, 11,231.88 and 2,872 is: 4,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.24 : 11,231.88 = 2,872 : x
  2. Step 2: Convert to fraction form
    7,492.24/11,231.88 = 2,872/x
  3. Step 3: Cross multiply
    7,492.24x = 11,231.88 × 2,872
  4. Step 4: Simplify right side
    7,492.24x = 32,257,959.36
  5. Step 5: Solve for x
    x = 32,257,959.36/7,492.24
  6. Step 6: Final answer
    x = 4,305.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.