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Finding the Fourth Proportional to 10,772.28, 14,861.48 and 7,946.42

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Solution

The fourth proportional to 10,772.28, 14,861.48 and 7,946.42 is: 10,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.28 : 14,861.48 = 7,946.42 : x
  2. Step 2: Convert to fraction form
    10,772.28/14,861.48 = 7,946.42/x
  3. Step 3: Cross multiply
    10,772.28x = 14,861.48 × 7,946.42
  4. Step 4: Simplify right side
    10,772.28x = 118,095,447.86
  5. Step 5: Solve for x
    x = 118,095,447.86/10,772.28
  6. Step 6: Final answer
    x = 10,962.90

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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.