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Finding the Fourth Proportional to 7,468.86, 11,172.50 and 6,137.62

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Solution

The fourth proportional to 7,468.86, 11,172.50 and 6,137.62 is: 9,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.86 : 11,172.50 = 6,137.62 : x
  2. Step 2: Convert to fraction form
    7,468.86/11,172.50 = 6,137.62/x
  3. Step 3: Cross multiply
    7,468.86x = 11,172.50 × 6,137.62
  4. Step 4: Simplify right side
    7,468.86x = 68,572,574.79
  5. Step 5: Solve for x
    x = 68,572,574.79/7,468.86
  6. Step 6: Final answer
    x = 9,181.14

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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.