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Finding the Fourth Proportional to 7,543.26, 10,409.54 and 4,186.05

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Solution

The fourth proportional to 7,543.26, 10,409.54 and 4,186.05 is: 5,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.26 : 10,409.54 = 4,186.05 : x
  2. Step 2: Convert to fraction form
    7,543.26/10,409.54 = 4,186.05/x
  3. Step 3: Cross multiply
    7,543.26x = 10,409.54 × 4,186.05
  4. Step 4: Simplify right side
    7,543.26x = 43,574,865.38
  5. Step 5: Solve for x
    x = 43,574,865.38/7,543.26
  6. Step 6: Final answer
    x = 5,776.66

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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.