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Finding the Fourth Proportional to 10,208.85, 15,306.27 and 3,543.67

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Solution

The fourth proportional to 10,208.85, 15,306.27 and 3,543.67 is: 5,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.85 : 15,306.27 = 3,543.67 : x
  2. Step 2: Convert to fraction form
    10,208.85/15,306.27 = 3,543.67/x
  3. Step 3: Cross multiply
    10,208.85x = 15,306.27 × 3,543.67
  4. Step 4: Simplify right side
    10,208.85x = 54,240,369.81
  5. Step 5: Solve for x
    x = 54,240,369.81/10,208.85
  6. Step 6: Final answer
    x = 5,313.07

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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.