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Finding the Fourth Proportional to 7,652.86, 11,481.21 and 3,706.01

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Solution

The fourth proportional to 7,652.86, 11,481.21 and 3,706.01 is: 5,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.86 : 11,481.21 = 3,706.01 : x
  2. Step 2: Convert to fraction form
    7,652.86/11,481.21 = 3,706.01/x
  3. Step 3: Cross multiply
    7,652.86x = 11,481.21 × 3,706.01
  4. Step 4: Simplify right side
    7,652.86x = 42,549,421.67
  5. Step 5: Solve for x
    x = 42,549,421.67/7,652.86
  6. Step 6: Final answer
    x = 5,559.94

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Why These Related Problems?

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