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Finding the Fourth Proportional to 10,788.87, 14,890.02 and 6,074.04

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Solution

The fourth proportional to 10,788.87, 14,890.02 and 6,074.04 is: 8,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.87 : 14,890.02 = 6,074.04 : x
  2. Step 2: Convert to fraction form
    10,788.87/14,890.02 = 6,074.04/x
  3. Step 3: Cross multiply
    10,788.87x = 14,890.02 × 6,074.04
  4. Step 4: Simplify right side
    10,788.87x = 90,442,577.08
  5. Step 5: Solve for x
    x = 90,442,577.08/10,788.87
  6. Step 6: Final answer
    x = 8,382.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.