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Finding the Fourth Proportional to 10,657.49, 14,707.04 and 6,180.96

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Solution

The fourth proportional to 10,657.49, 14,707.04 and 6,180.96 is: 8,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.49 : 14,707.04 = 6,180.96 : x
  2. Step 2: Convert to fraction form
    10,657.49/14,707.04 = 6,180.96/x
  3. Step 3: Cross multiply
    10,657.49x = 14,707.04 × 6,180.96
  4. Step 4: Simplify right side
    10,657.49x = 90,903,625.96
  5. Step 5: Solve for x
    x = 90,903,625.96/10,657.49
  6. Step 6: Final answer
    x = 8,529.55

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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.