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Finding the Fourth Proportional to 10,625.46, 14,665.61 and 6,151.83

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Solution

The fourth proportional to 10,625.46, 14,665.61 and 6,151.83 is: 8,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.46 : 14,665.61 = 6,151.83 : x
  2. Step 2: Convert to fraction form
    10,625.46/14,665.61 = 6,151.83/x
  3. Step 3: Cross multiply
    10,625.46x = 14,665.61 × 6,151.83
  4. Step 4: Simplify right side
    10,625.46x = 90,220,308.81
  5. Step 5: Solve for x
    x = 90,220,308.81/10,625.46
  6. Step 6: Final answer
    x = 8,490.96

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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.