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Finding the Fourth Proportional to 10,280.63, 14,186.99 and 5,743.19

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Solution

The fourth proportional to 10,280.63, 14,186.99 and 5,743.19 is: 7,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.63 : 14,186.99 = 5,743.19 : x
  2. Step 2: Convert to fraction form
    10,280.63/14,186.99 = 5,743.19/x
  3. Step 3: Cross multiply
    10,280.63x = 14,186.99 × 5,743.19
  4. Step 4: Simplify right side
    10,280.63x = 81,478,550.38
  5. Step 5: Solve for x
    x = 81,478,550.38/10,280.63
  6. Step 6: Final answer
    x = 7,925.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.