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Finding the Fourth Proportional to 10,761.41, 16,143.65 and 5,210.19

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Solution

The fourth proportional to 10,761.41, 16,143.65 and 5,210.19 is: 7,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.41 : 16,143.65 = 5,210.19 : x
  2. Step 2: Convert to fraction form
    10,761.41/16,143.65 = 5,210.19/x
  3. Step 3: Cross multiply
    10,761.41x = 16,143.65 × 5,210.19
  4. Step 4: Simplify right side
    10,761.41x = 84,111,457.74
  5. Step 5: Solve for x
    x = 84,111,457.74/10,761.41
  6. Step 6: Final answer
    x = 7,816.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.