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Finding the Fourth Proportional to 10,277.99, 15,417.67 and 3,613.67

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Solution

The fourth proportional to 10,277.99, 15,417.67 and 3,613.67 is: 5,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.99 : 15,417.67 = 3,613.67 : x
  2. Step 2: Convert to fraction form
    10,277.99/15,417.67 = 3,613.67/x
  3. Step 3: Cross multiply
    10,277.99x = 15,417.67 × 3,613.67
  4. Step 4: Simplify right side
    10,277.99x = 55,714,371.55
  5. Step 5: Solve for x
    x = 55,714,371.55/10,277.99
  6. Step 6: Final answer
    x = 5,420.75

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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.