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Finding the Fourth Proportional to 11,726.74, 16,180.65 and 7,952.98

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Solution

The fourth proportional to 11,726.74, 16,180.65 and 7,952.98 is: 10,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.74 : 16,180.65 = 7,952.98 : x
  2. Step 2: Convert to fraction form
    11,726.74/16,180.65 = 7,952.98/x
  3. Step 3: Cross multiply
    11,726.74x = 16,180.65 × 7,952.98
  4. Step 4: Simplify right side
    11,726.74x = 128,684,385.84
  5. Step 5: Solve for x
    x = 128,684,385.84/11,726.74
  6. Step 6: Final answer
    x = 10,973.59

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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.