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Finding the Fourth Proportional to 37,666, 56,497.38 and 11,369.96

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Solution

The fourth proportional to 37,666, 56,497.38 and 11,369.96 is: 17,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666 : 56,497.38 = 11,369.96 : x
  2. Step 2: Convert to fraction form
    37,666/56,497.38 = 11,369.96/x
  3. Step 3: Cross multiply
    37,666x = 56,497.38 × 11,369.96
  4. Step 4: Simplify right side
    37,666x = 642,372,809.46
  5. Step 5: Solve for x
    x = 642,372,809.46/37,666
  6. Step 6: Final answer
    x = 17,054.45

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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.