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Finding the Fourth Proportional to 7,548.38, 10,417.09 and 4,191.20

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Solution

The fourth proportional to 7,548.38, 10,417.09 and 4,191.20 is: 5,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.38 : 10,417.09 = 4,191.20 : x
  2. Step 2: Convert to fraction form
    7,548.38/10,417.09 = 4,191.20/x
  3. Step 3: Cross multiply
    7,548.38x = 10,417.09 × 4,191.20
  4. Step 4: Simplify right side
    7,548.38x = 43,660,066.00
  5. Step 5: Solve for x
    x = 43,660,066.00/7,548.38
  6. Step 6: Final answer
    x = 5,784.03

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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.