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Finding the Fourth Proportional to 7,548.80, 10,417.41 and 4,404.38

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Solution

The fourth proportional to 7,548.80, 10,417.41 and 4,404.38 is: 6,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.80 : 10,417.41 = 4,404.38 : x
  2. Step 2: Convert to fraction form
    7,548.80/10,417.41 = 4,404.38/x
  3. Step 3: Cross multiply
    7,548.80x = 10,417.41 × 4,404.38
  4. Step 4: Simplify right side
    7,548.80x = 45,882,180.17
  5. Step 5: Solve for x
    x = 45,882,180.17/7,548.80
  6. Step 6: Final answer
    x = 6,078.08

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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.