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Finding the Fourth Proportional to 7,186.74, 10,783.18 and 2,256.80

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Solution

The fourth proportional to 7,186.74, 10,783.18 and 2,256.80 is: 3,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.74 : 10,783.18 = 2,256.80 : x
  2. Step 2: Convert to fraction form
    7,186.74/10,783.18 = 2,256.80/x
  3. Step 3: Cross multiply
    7,186.74x = 10,783.18 × 2,256.80
  4. Step 4: Simplify right side
    7,186.74x = 24,335,480.62
  5. Step 5: Solve for x
    x = 24,335,480.62/7,186.74
  6. Step 6: Final answer
    x = 3,386.16

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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.