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Finding the Fourth Proportional to 7,442.00, 11,165.73 and 5,364.35

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Solution

The fourth proportional to 7,442.00, 11,165.73 and 5,364.35 is: 8,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.00 : 11,165.73 = 5,364.35 : x
  2. Step 2: Convert to fraction form
    7,442.00/11,165.73 = 5,364.35/x
  3. Step 3: Cross multiply
    7,442.00x = 11,165.73 × 5,364.35
  4. Step 4: Simplify right side
    7,442.00x = 59,896,879.83
  5. Step 5: Solve for x
    x = 59,896,879.83/7,442.00
  6. Step 6: Final answer
    x = 8,048.49

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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.