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Finding the Fourth Proportional to 10,625.58, 14,657.76 and 6,847.74

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Solution

The fourth proportional to 10,625.58, 14,657.76 and 6,847.74 is: 9,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.58 : 14,657.76 = 6,847.74 : x
  2. Step 2: Convert to fraction form
    10,625.58/14,657.76 = 6,847.74/x
  3. Step 3: Cross multiply
    10,625.58x = 14,657.76 × 6,847.74
  4. Step 4: Simplify right side
    10,625.58x = 100,372,529.46
  5. Step 5: Solve for x
    x = 100,372,529.46/10,625.58
  6. Step 6: Final answer
    x = 9,446.31

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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.