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Finding the Fourth Proportional to 11,840.14, 16,339.59 and 7,655.68

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Solution

The fourth proportional to 11,840.14, 16,339.59 and 7,655.68 is: 10,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.14 : 16,339.59 = 7,655.68 : x
  2. Step 2: Convert to fraction form
    11,840.14/16,339.59 = 7,655.68/x
  3. Step 3: Cross multiply
    11,840.14x = 16,339.59 × 7,655.68
  4. Step 4: Simplify right side
    11,840.14x = 125,090,672.37
  5. Step 5: Solve for x
    x = 125,090,672.37/11,840.14
  6. Step 6: Final answer
    x = 10,564.97

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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.