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Finding the Fourth Proportional to 7,444.72, 11,174.40 and 5,065.50

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Solution

The fourth proportional to 7,444.72, 11,174.40 and 5,065.50 is: 7,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.72 : 11,174.40 = 5,065.50 : x
  2. Step 2: Convert to fraction form
    7,444.72/11,174.40 = 5,065.50/x
  3. Step 3: Cross multiply
    7,444.72x = 11,174.40 × 5,065.50
  4. Step 4: Simplify right side
    7,444.72x = 56,603,923.20
  5. Step 5: Solve for x
    x = 56,603,923.20/7,444.72
  6. Step 6: Final answer
    x = 7,603.23

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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.