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Finding the Fourth Proportional to 10,273.80, 15,410.70 and 2,878.50

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Solution

The fourth proportional to 10,273.80, 15,410.70 and 2,878.50 is: 4,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.80 : 15,410.70 = 2,878.50 : x
  2. Step 2: Convert to fraction form
    10,273.80/15,410.70 = 2,878.50/x
  3. Step 3: Cross multiply
    10,273.80x = 15,410.70 × 2,878.50
  4. Step 4: Simplify right side
    10,273.80x = 44,359,699.95
  5. Step 5: Solve for x
    x = 44,359,699.95/10,273.80
  6. Step 6: Final answer
    x = 4,317.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.