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Finding the Fourth Proportional to 8,140.42, 12,210.09 and 4,873.78

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Solution

The fourth proportional to 8,140.42, 12,210.09 and 4,873.78 is: 7,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.42 : 12,210.09 = 4,873.78 : x
  2. Step 2: Convert to fraction form
    8,140.42/12,210.09 = 4,873.78/x
  3. Step 3: Cross multiply
    8,140.42x = 12,210.09 × 4,873.78
  4. Step 4: Simplify right side
    8,140.42x = 59,509,292.44
  5. Step 5: Solve for x
    x = 59,509,292.44/8,140.42
  6. Step 6: Final answer
    x = 7,310.35

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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.