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Finding the Fourth Proportional to 10,707.50, 14,775.02 and 5,926.80

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Solution

The fourth proportional to 10,707.50, 14,775.02 and 5,926.80 is: 8,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.50 : 14,775.02 = 5,926.80 : x
  2. Step 2: Convert to fraction form
    10,707.50/14,775.02 = 5,926.80/x
  3. Step 3: Cross multiply
    10,707.50x = 14,775.02 × 5,926.80
  4. Step 4: Simplify right side
    10,707.50x = 87,568,588.54
  5. Step 5: Solve for x
    x = 87,568,588.54/10,707.50
  6. Step 6: Final answer
    x = 8,178.25

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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.