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Finding the Fourth Proportional to 10,543.68, 14,550.16 and 5,828.04

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Solution

The fourth proportional to 10,543.68, 14,550.16 and 5,828.04 is: 8,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.68 : 14,550.16 = 5,828.04 : x
  2. Step 2: Convert to fraction form
    10,543.68/14,550.16 = 5,828.04/x
  3. Step 3: Cross multiply
    10,543.68x = 14,550.16 × 5,828.04
  4. Step 4: Simplify right side
    10,543.68x = 84,798,914.49
  5. Step 5: Solve for x
    x = 84,798,914.49/10,543.68
  6. Step 6: Final answer
    x = 8,042.63

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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.