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Finding the Fourth Proportional to 27,477.90, 41,219.46 and 7,487.64

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Solution

The fourth proportional to 27,477.90, 41,219.46 and 7,487.64 is: 11,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.90 : 41,219.46 = 7,487.64 : x
  2. Step 2: Convert to fraction form
    27,477.90/41,219.46 = 7,487.64/x
  3. Step 3: Cross multiply
    27,477.90x = 41,219.46 × 7,487.64
  4. Step 4: Simplify right side
    27,477.90x = 308,636,477.47
  5. Step 5: Solve for x
    x = 308,636,477.47/27,477.90
  6. Step 6: Final answer
    x = 11,232.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.