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Finding the Fourth Proportional to 7,530.59, 10,392.23 and 4,173.46

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Solution

The fourth proportional to 7,530.59, 10,392.23 and 4,173.46 is: 5,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.59 : 10,392.23 = 4,173.46 : x
  2. Step 2: Convert to fraction form
    7,530.59/10,392.23 = 4,173.46/x
  3. Step 3: Cross multiply
    7,530.59x = 10,392.23 × 4,173.46
  4. Step 4: Simplify right side
    7,530.59x = 43,371,514.69
  5. Step 5: Solve for x
    x = 43,371,514.69/7,530.59
  6. Step 6: Final answer
    x = 5,759.38

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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.