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Finding the Fourth Proportional to 7,690.54, 11,478.28 and 7,074.94

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Solution

The fourth proportional to 7,690.54, 11,478.28 and 7,074.94 is: 10,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.54 : 11,478.28 = 7,074.94 : x
  2. Step 2: Convert to fraction form
    7,690.54/11,478.28 = 7,074.94/x
  3. Step 3: Cross multiply
    7,690.54x = 11,478.28 × 7,074.94
  4. Step 4: Simplify right side
    7,690.54x = 81,208,142.30
  5. Step 5: Solve for x
    x = 81,208,142.30/7,690.54
  6. Step 6: Final answer
    x = 10,559.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.