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Finding the Fourth Proportional to 7,458, 11,186.42 and 4,336.02

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Solution

The fourth proportional to 7,458, 11,186.42 and 4,336.02 is: 6,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458 : 11,186.42 = 4,336.02 : x
  2. Step 2: Convert to fraction form
    7,458/11,186.42 = 4,336.02/x
  3. Step 3: Cross multiply
    7,458x = 11,186.42 × 4,336.02
  4. Step 4: Simplify right side
    7,458x = 48,504,463.24
  5. Step 5: Solve for x
    x = 48,504,463.24/7,458
  6. Step 6: Final answer
    x = 6,503.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.