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Finding the Fourth Proportional to 10,543.25, 14,549.96 and 5,763.39

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Solution

The fourth proportional to 10,543.25, 14,549.96 and 5,763.39 is: 7,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.25 : 14,549.96 = 5,763.39 : x
  2. Step 2: Convert to fraction form
    10,543.25/14,549.96 = 5,763.39/x
  3. Step 3: Cross multiply
    10,543.25x = 14,549.96 × 5,763.39
  4. Step 4: Simplify right side
    10,543.25x = 83,857,065.15
  5. Step 5: Solve for x
    x = 83,857,065.15/10,543.25
  6. Step 6: Final answer
    x = 7,953.63

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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.