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Finding the Fourth Proportional to 10,234.81, 14,127.95 and 7,883.78

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Solution

The fourth proportional to 10,234.81, 14,127.95 and 7,883.78 is: 10,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.81 : 14,127.95 = 7,883.78 : x
  2. Step 2: Convert to fraction form
    10,234.81/14,127.95 = 7,883.78/x
  3. Step 3: Cross multiply
    10,234.81x = 14,127.95 × 7,883.78
  4. Step 4: Simplify right side
    10,234.81x = 111,381,678.19
  5. Step 5: Solve for x
    x = 111,381,678.19/10,234.81
  6. Step 6: Final answer
    x = 10,882.64

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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.