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Finding the Fourth Proportional to 10,827, 14,941.96 and 6,350.27

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Solution

The fourth proportional to 10,827, 14,941.96 and 6,350.27 is: 8,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827 : 14,941.96 = 6,350.27 : x
  2. Step 2: Convert to fraction form
    10,827/14,941.96 = 6,350.27/x
  3. Step 3: Cross multiply
    10,827x = 14,941.96 × 6,350.27
  4. Step 4: Simplify right side
    10,827x = 94,885,389.74
  5. Step 5: Solve for x
    x = 94,885,389.74/10,827
  6. Step 6: Final answer
    x = 8,763.77

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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.