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Finding the Fourth Proportional to 8,235.57, 11,370.33 and 5,407.96

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Solution

The fourth proportional to 8,235.57, 11,370.33 and 5,407.96 is: 7,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.57 : 11,370.33 = 5,407.96 : x
  2. Step 2: Convert to fraction form
    8,235.57/11,370.33 = 5,407.96/x
  3. Step 3: Cross multiply
    8,235.57x = 11,370.33 × 5,407.96
  4. Step 4: Simplify right side
    8,235.57x = 61,490,289.83
  5. Step 5: Solve for x
    x = 61,490,289.83/8,235.57
  6. Step 6: Final answer
    x = 7,466.43

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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.