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Finding the Fourth Proportional to 6,961.77, 10,430.07 and 4,616.19

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Solution

The fourth proportional to 6,961.77, 10,430.07 and 4,616.19 is: 6,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.77 : 10,430.07 = 4,616.19 : x
  2. Step 2: Convert to fraction form
    6,961.77/10,430.07 = 4,616.19/x
  3. Step 3: Cross multiply
    6,961.77x = 10,430.07 × 4,616.19
  4. Step 4: Simplify right side
    6,961.77x = 48,147,184.83
  5. Step 5: Solve for x
    x = 48,147,184.83/6,961.77
  6. Step 6: Final answer
    x = 6,915.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.