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Finding the Fourth Proportional to 10,680.57, 14,739.10 and 5,900.51

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Solution

The fourth proportional to 10,680.57, 14,739.10 and 5,900.51 is: 8,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.57 : 14,739.10 = 5,900.51 : x
  2. Step 2: Convert to fraction form
    10,680.57/14,739.10 = 5,900.51/x
  3. Step 3: Cross multiply
    10,680.57x = 14,739.10 × 5,900.51
  4. Step 4: Simplify right side
    10,680.57x = 86,968,206.94
  5. Step 5: Solve for x
    x = 86,968,206.94/10,680.57
  6. Step 6: Final answer
    x = 8,142.66

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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.