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Finding the Fourth Proportional to 7,548.19, 10,416.50 and 4,191.55

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Solution

The fourth proportional to 7,548.19, 10,416.50 and 4,191.55 is: 5,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.19 : 10,416.50 = 4,191.55 : x
  2. Step 2: Convert to fraction form
    7,548.19/10,416.50 = 4,191.55/x
  3. Step 3: Cross multiply
    7,548.19x = 10,416.50 × 4,191.55
  4. Step 4: Simplify right side
    7,548.19x = 43,661,249.29
  5. Step 5: Solve for x
    x = 43,661,249.29/7,548.19
  6. Step 6: Final answer
    x = 5,784.34

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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.