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Finding the Fourth Proportional to 7,862.58, 11,797.92 and 3,483.14

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Solution

The fourth proportional to 7,862.58, 11,797.92 and 3,483.14 is: 5,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.58 : 11,797.92 = 3,483.14 : x
  2. Step 2: Convert to fraction form
    7,862.58/11,797.92 = 3,483.14/x
  3. Step 3: Cross multiply
    7,862.58x = 11,797.92 × 3,483.14
  4. Step 4: Simplify right side
    7,862.58x = 41,093,748.08
  5. Step 5: Solve for x
    x = 41,093,748.08/7,862.58
  6. Step 6: Final answer
    x = 5,226.50

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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.