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Finding the Fourth Proportional to 7,407.91, 11,114.61 and 3,461.39

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Solution

The fourth proportional to 7,407.91, 11,114.61 and 3,461.39 is: 5,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.91 : 11,114.61 = 3,461.39 : x
  2. Step 2: Convert to fraction form
    7,407.91/11,114.61 = 3,461.39/x
  3. Step 3: Cross multiply
    7,407.91x = 11,114.61 × 3,461.39
  4. Step 4: Simplify right side
    7,407.91x = 38,471,999.91
  5. Step 5: Solve for x
    x = 38,471,999.91/7,407.91
  6. Step 6: Final answer
    x = 5,193.37

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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.