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Finding the Fourth Proportional to 10,471.74, 14,451.69 and 6,495.50

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Solution

The fourth proportional to 10,471.74, 14,451.69 and 6,495.50 is: 8,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.74 : 14,451.69 = 6,495.50 : x
  2. Step 2: Convert to fraction form
    10,471.74/14,451.69 = 6,495.50/x
  3. Step 3: Cross multiply
    10,471.74x = 14,451.69 × 6,495.50
  4. Step 4: Simplify right side
    10,471.74x = 93,870,880.14
  5. Step 5: Solve for x
    x = 93,870,880.14/10,471.74
  6. Step 6: Final answer
    x = 8,964.21

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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.