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Finding the Fourth Proportional to 10,086.25, 15,097.02 and 5,394.53

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Solution

The fourth proportional to 10,086.25, 15,097.02 and 5,394.53 is: 8,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.25 : 15,097.02 = 5,394.53 : x
  2. Step 2: Convert to fraction form
    10,086.25/15,097.02 = 5,394.53/x
  3. Step 3: Cross multiply
    10,086.25x = 15,097.02 × 5,394.53
  4. Step 4: Simplify right side
    10,086.25x = 81,441,327.30
  5. Step 5: Solve for x
    x = 81,441,327.30/10,086.25
  6. Step 6: Final answer
    x = 8,074.49

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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.