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Finding the Fourth Proportional to 7,602.02, 11,401.62 and 6,129.86

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Solution

The fourth proportional to 7,602.02, 11,401.62 and 6,129.86 is: 9,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.02 : 11,401.62 = 6,129.86 : x
  2. Step 2: Convert to fraction form
    7,602.02/11,401.62 = 6,129.86/x
  3. Step 3: Cross multiply
    7,602.02x = 11,401.62 × 6,129.86
  4. Step 4: Simplify right side
    7,602.02x = 69,890,334.37
  5. Step 5: Solve for x
    x = 69,890,334.37/7,602.02
  6. Step 6: Final answer
    x = 9,193.65

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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.