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Finding the Fourth Proportional to 8,362, 11,539.80 and 4,636.24

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Solution

The fourth proportional to 8,362, 11,539.80 and 4,636.24 is: 6,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362 : 11,539.80 = 4,636.24 : x
  2. Step 2: Convert to fraction form
    8,362/11,539.80 = 4,636.24/x
  3. Step 3: Cross multiply
    8,362x = 11,539.80 × 4,636.24
  4. Step 4: Simplify right side
    8,362x = 53,501,282.35
  5. Step 5: Solve for x
    x = 53,501,282.35/8,362
  6. Step 6: Final answer
    x = 6,398.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.