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Finding the Fourth Proportional to 10,384.02, 14,293.89 and 7,861.68

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Solution

The fourth proportional to 10,384.02, 14,293.89 and 7,861.68 is: 10,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.02 : 14,293.89 = 7,861.68 : x
  2. Step 2: Convert to fraction form
    10,384.02/14,293.89 = 7,861.68/x
  3. Step 3: Cross multiply
    10,384.02x = 14,293.89 × 7,861.68
  4. Step 4: Simplify right side
    10,384.02x = 112,373,989.14
  5. Step 5: Solve for x
    x = 112,373,989.14/10,384.02
  6. Step 6: Final answer
    x = 10,821.82

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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.