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Finding the Fourth Proportional to 7,690.67, 10,612.82 and 4,334.15

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Solution

The fourth proportional to 7,690.67, 10,612.82 and 4,334.15 is: 5,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.67 : 10,612.82 = 4,334.15 : x
  2. Step 2: Convert to fraction form
    7,690.67/10,612.82 = 4,334.15/x
  3. Step 3: Cross multiply
    7,690.67x = 10,612.82 × 4,334.15
  4. Step 4: Simplify right side
    7,690.67x = 45,997,479.07
  5. Step 5: Solve for x
    x = 45,997,479.07/7,690.67
  6. Step 6: Final answer
    x = 5,980.95

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