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Finding the Fourth Proportional to 7,186.95, 10,780.98 and 2,256.60

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Solution

The fourth proportional to 7,186.95, 10,780.98 and 2,256.60 is: 3,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.95 : 10,780.98 = 2,256.60 : x
  2. Step 2: Convert to fraction form
    7,186.95/10,780.98 = 2,256.60/x
  3. Step 3: Cross multiply
    7,186.95x = 10,780.98 × 2,256.60
  4. Step 4: Simplify right side
    7,186.95x = 24,328,359.47
  5. Step 5: Solve for x
    x = 24,328,359.47/7,186.95
  6. Step 6: Final answer
    x = 3,385.07

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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.