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Finding the Fourth Proportional to 10,474.62, 14,454.21 and 6,225.49

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Solution

The fourth proportional to 10,474.62, 14,454.21 and 6,225.49 is: 8,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.62 : 14,454.21 = 6,225.49 : x
  2. Step 2: Convert to fraction form
    10,474.62/14,454.21 = 6,225.49/x
  3. Step 3: Cross multiply
    10,474.62x = 14,454.21 × 6,225.49
  4. Step 4: Simplify right side
    10,474.62x = 89,984,539.81
  5. Step 5: Solve for x
    x = 89,984,539.81/10,474.62
  6. Step 6: Final answer
    x = 8,590.72

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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.