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Finding the Fourth Proportional to 7,492.76, 11,238.09 and 4,116.61

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Solution

The fourth proportional to 7,492.76, 11,238.09 and 4,116.61 is: 6,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.76 : 11,238.09 = 4,116.61 : x
  2. Step 2: Convert to fraction form
    7,492.76/11,238.09 = 4,116.61/x
  3. Step 3: Cross multiply
    7,492.76x = 11,238.09 × 4,116.61
  4. Step 4: Simplify right side
    7,492.76x = 46,262,833.67
  5. Step 5: Solve for x
    x = 46,262,833.67/7,492.76
  6. Step 6: Final answer
    x = 6,174.34

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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.