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Finding the Fourth Proportional to 10,650.46, 14,694.15 and 6,457.18

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Solution

The fourth proportional to 10,650.46, 14,694.15 and 6,457.18 is: 8,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.46 : 14,694.15 = 6,457.18 : x
  2. Step 2: Convert to fraction form
    10,650.46/14,694.15 = 6,457.18/x
  3. Step 3: Cross multiply
    10,650.46x = 14,694.15 × 6,457.18
  4. Step 4: Simplify right side
    10,650.46x = 94,882,771.50
  5. Step 5: Solve for x
    x = 94,882,771.50/10,650.46
  6. Step 6: Final answer
    x = 8,908.80

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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.