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Finding the Fourth Proportional to 7,766.85, 10,718.54 and 4,230.32

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Solution

The fourth proportional to 7,766.85, 10,718.54 and 4,230.32 is: 5,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.85 : 10,718.54 = 4,230.32 : x
  2. Step 2: Convert to fraction form
    7,766.85/10,718.54 = 4,230.32/x
  3. Step 3: Cross multiply
    7,766.85x = 10,718.54 × 4,230.32
  4. Step 4: Simplify right side
    7,766.85x = 45,342,779.39
  5. Step 5: Solve for x
    x = 45,342,779.39/7,766.85
  6. Step 6: Final answer
    x = 5,837.99

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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.