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Finding the Fourth Proportional to 10,277.14, 15,421.11 and 5,600.50

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Solution

The fourth proportional to 10,277.14, 15,421.11 and 5,600.50 is: 8,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.14 : 15,421.11 = 5,600.50 : x
  2. Step 2: Convert to fraction form
    10,277.14/15,421.11 = 5,600.50/x
  3. Step 3: Cross multiply
    10,277.14x = 15,421.11 × 5,600.50
  4. Step 4: Simplify right side
    10,277.14x = 86,365,926.56
  5. Step 5: Solve for x
    x = 86,365,926.56/10,277.14
  6. Step 6: Final answer
    x = 8,403.69

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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.