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Finding the Fourth Proportional to 8,409.08, 12,657.47 and 7,140.62

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Solution

The fourth proportional to 8,409.08, 12,657.47 and 7,140.62 is: 10,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.08 : 12,657.47 = 7,140.62 : x
  2. Step 2: Convert to fraction form
    8,409.08/12,657.47 = 7,140.62/x
  3. Step 3: Cross multiply
    8,409.08x = 12,657.47 × 7,140.62
  4. Step 4: Simplify right side
    8,409.08x = 90,382,183.43
  5. Step 5: Solve for x
    x = 90,382,183.43/8,409.08
  6. Step 6: Final answer
    x = 10,748.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.