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Finding the Fourth Proportional to 7,407.82, 11,099.58 and 4,486.96

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Solution

The fourth proportional to 7,407.82, 11,099.58 and 4,486.96 is: 6,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.82 : 11,099.58 = 4,486.96 : x
  2. Step 2: Convert to fraction form
    7,407.82/11,099.58 = 4,486.96/x
  3. Step 3: Cross multiply
    7,407.82x = 11,099.58 × 4,486.96
  4. Step 4: Simplify right side
    7,407.82x = 49,803,371.48
  5. Step 5: Solve for x
    x = 49,803,371.48/7,407.82
  6. Step 6: Final answer
    x = 6,723.08

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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.