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Finding the Fourth Proportional to 7,851.24, 11,780.64 and 3,468

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Solution

The fourth proportional to 7,851.24, 11,780.64 and 3,468 is: 5,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.24 : 11,780.64 = 3,468 : x
  2. Step 2: Convert to fraction form
    7,851.24/11,780.64 = 3,468/x
  3. Step 3: Cross multiply
    7,851.24x = 11,780.64 × 3,468
  4. Step 4: Simplify right side
    7,851.24x = 40,855,259.52
  5. Step 5: Solve for x
    x = 40,855,259.52/7,851.24
  6. Step 6: Final answer
    x = 5,203.67

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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.