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Finding the Fourth Proportional to 10,300.68, 15,444.85 and 3,277.66

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Solution

The fourth proportional to 10,300.68, 15,444.85 and 3,277.66 is: 4,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.68 : 15,444.85 = 3,277.66 : x
  2. Step 2: Convert to fraction form
    10,300.68/15,444.85 = 3,277.66/x
  3. Step 3: Cross multiply
    10,300.68x = 15,444.85 × 3,277.66
  4. Step 4: Simplify right side
    10,300.68x = 50,622,967.05
  5. Step 5: Solve for x
    x = 50,622,967.05/10,300.68
  6. Step 6: Final answer
    x = 4,914.53

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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.