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Finding the Fourth Proportional to 11,840.24, 16,347.80 and 7,366

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Solution

The fourth proportional to 11,840.24, 16,347.80 and 7,366 is: 10,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.24 : 16,347.80 = 7,366 : x
  2. Step 2: Convert to fraction form
    11,840.24/16,347.80 = 7,366/x
  3. Step 3: Cross multiply
    11,840.24x = 16,347.80 × 7,366
  4. Step 4: Simplify right side
    11,840.24x = 120,417,894.80
  5. Step 5: Solve for x
    x = 120,417,894.80/11,840.24
  6. Step 6: Final answer
    x = 10,170.22

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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.