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Finding the Fourth Proportional to 7,924.50, 11,886.84 and 3,307.50

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Solution

The fourth proportional to 7,924.50, 11,886.84 and 3,307.50 is: 4,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.50 : 11,886.84 = 3,307.50 : x
  2. Step 2: Convert to fraction form
    7,924.50/11,886.84 = 3,307.50/x
  3. Step 3: Cross multiply
    7,924.50x = 11,886.84 × 3,307.50
  4. Step 4: Simplify right side
    7,924.50x = 39,315,723.30
  5. Step 5: Solve for x
    x = 39,315,723.30/7,924.50
  6. Step 6: Final answer
    x = 4,961.29

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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.