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Finding the Fourth Proportional to 8,409.90, 11,603.30 and 5,424.60

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Solution

The fourth proportional to 8,409.90, 11,603.30 and 5,424.60 is: 7,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.90 : 11,603.30 = 5,424.60 : x
  2. Step 2: Convert to fraction form
    8,409.90/11,603.30 = 5,424.60/x
  3. Step 3: Cross multiply
    8,409.90x = 11,603.30 × 5,424.60
  4. Step 4: Simplify right side
    8,409.90x = 62,943,234.06
  5. Step 5: Solve for x
    x = 62,943,234.06/8,409.90
  6. Step 6: Final answer
    x = 7,484.42

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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.