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Finding the Fourth Proportional to 7,690.19, 10,612.49 and 4,664.30

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Solution

The fourth proportional to 7,690.19, 10,612.49 and 4,664.30 is: 6,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.19 : 10,612.49 = 4,664.30 : x
  2. Step 2: Convert to fraction form
    7,690.19/10,612.49 = 4,664.30/x
  3. Step 3: Cross multiply
    7,690.19x = 10,612.49 × 4,664.30
  4. Step 4: Simplify right side
    7,690.19x = 49,499,837.11
  5. Step 5: Solve for x
    x = 49,499,837.11/7,690.19
  6. Step 6: Final answer
    x = 6,436.75

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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.