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Finding the Fourth Proportional to 10,651.46, 14,695.53 and 6,458.18

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Solution

The fourth proportional to 10,651.46, 14,695.53 and 6,458.18 is: 8,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.46 : 14,695.53 = 6,458.18 : x
  2. Step 2: Convert to fraction form
    10,651.46/14,695.53 = 6,458.18/x
  3. Step 3: Cross multiply
    10,651.46x = 14,695.53 × 6,458.18
  4. Step 4: Simplify right side
    10,651.46x = 94,906,377.94
  5. Step 5: Solve for x
    x = 94,906,377.94/10,651.46
  6. Step 6: Final answer
    x = 8,910.18

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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.