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Finding the Fourth Proportional to 11,840.24, 16,341 and 7,645.52

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Solution

The fourth proportional to 11,840.24, 16,341 and 7,645.52 is: 10,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.24 : 16,341 = 7,645.52 : x
  2. Step 2: Convert to fraction form
    11,840.24/16,341 = 7,645.52/x
  3. Step 3: Cross multiply
    11,840.24x = 16,341 × 7,645.52
  4. Step 4: Simplify right side
    11,840.24x = 124,935,442.32
  5. Step 5: Solve for x
    x = 124,935,442.32/11,840.24
  6. Step 6: Final answer
    x = 10,551.77

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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.