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Finding the Fourth Proportional to 7,766.36, 10,717.62 and 4,409.18

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Solution

The fourth proportional to 7,766.36, 10,717.62 and 4,409.18 is: 6,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.36 : 10,717.62 = 4,409.18 : x
  2. Step 2: Convert to fraction form
    7,766.36/10,717.62 = 4,409.18/x
  3. Step 3: Cross multiply
    7,766.36x = 10,717.62 × 4,409.18
  4. Step 4: Simplify right side
    7,766.36x = 47,255,915.75
  5. Step 5: Solve for x
    x = 47,255,915.75/7,766.36
  6. Step 6: Final answer
    x = 6,084.69

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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.