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Finding the Fourth Proportional to 10,177.80, 15,266.70 and 2,783.40

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Solution

The fourth proportional to 10,177.80, 15,266.70 and 2,783.40 is: 4,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.80 : 15,266.70 = 2,783.40 : x
  2. Step 2: Convert to fraction form
    10,177.80/15,266.70 = 2,783.40/x
  3. Step 3: Cross multiply
    10,177.80x = 15,266.70 × 2,783.40
  4. Step 4: Simplify right side
    10,177.80x = 42,493,332.78
  5. Step 5: Solve for x
    x = 42,493,332.78/10,177.80
  6. Step 6: Final answer
    x = 4,175.10

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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.