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Finding the Fourth Proportional to 10,283.99, 14,191.94 and 5,807.79

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Solution

The fourth proportional to 10,283.99, 14,191.94 and 5,807.79 is: 8,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.99 : 14,191.94 = 5,807.79 : x
  2. Step 2: Convert to fraction form
    10,283.99/14,191.94 = 5,807.79/x
  3. Step 3: Cross multiply
    10,283.99x = 14,191.94 × 5,807.79
  4. Step 4: Simplify right side
    10,283.99x = 82,423,821.73
  5. Step 5: Solve for x
    x = 82,423,821.73/10,283.99
  6. Step 6: Final answer
    x = 8,014.77

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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.