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Finding the Fourth Proportional to 37,664.60, 56,499.06 and 11,372

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Solution

The fourth proportional to 37,664.60, 56,499.06 and 11,372 is: 17,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664.60 : 56,499.06 = 11,372 : x
  2. Step 2: Convert to fraction form
    37,664.60/56,499.06 = 11,372/x
  3. Step 3: Cross multiply
    37,664.60x = 56,499.06 × 11,372
  4. Step 4: Simplify right side
    37,664.60x = 642,507,310.32
  5. Step 5: Solve for x
    x = 642,507,310.32/37,664.60
  6. Step 6: Final answer
    x = 17,058.65

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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.