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Finding the Fourth Proportional to 10,470.98, 14,450.01 and 5,690.96

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Solution

The fourth proportional to 10,470.98, 14,450.01 and 5,690.96 is: 7,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.98 : 14,450.01 = 5,690.96 : x
  2. Step 2: Convert to fraction form
    10,470.98/14,450.01 = 5,690.96/x
  3. Step 3: Cross multiply
    10,470.98x = 14,450.01 × 5,690.96
  4. Step 4: Simplify right side
    10,470.98x = 82,234,428.91
  5. Step 5: Solve for x
    x = 82,234,428.91/10,470.98
  6. Step 6: Final answer
    x = 7,853.56

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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.