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Finding the Fourth Proportional to 37,818.72, 56,726.64 and 10,116

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Solution

The fourth proportional to 37,818.72, 56,726.64 and 10,116 is: 15,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,818.72 : 56,726.64 = 10,116 : x
  2. Step 2: Convert to fraction form
    37,818.72/56,726.64 = 10,116/x
  3. Step 3: Cross multiply
    37,818.72x = 56,726.64 × 10,116
  4. Step 4: Simplify right side
    37,818.72x = 573,846,690.24
  5. Step 5: Solve for x
    x = 573,846,690.24/37,818.72
  6. Step 6: Final answer
    x = 15,173.61

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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.