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Finding the Fourth Proportional to 10,772.18, 14,861.04 and 6,578

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Solution

The fourth proportional to 10,772.18, 14,861.04 and 6,578 is: 9,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.18 : 14,861.04 = 6,578 : x
  2. Step 2: Convert to fraction form
    10,772.18/14,861.04 = 6,578/x
  3. Step 3: Cross multiply
    10,772.18x = 14,861.04 × 6,578
  4. Step 4: Simplify right side
    10,772.18x = 97,755,921.12
  5. Step 5: Solve for x
    x = 97,755,921.12/10,772.18
  6. Step 6: Final answer
    x = 9,074.85

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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.