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Finding the Fourth Proportional to 11,905.10, 16,424.37 and 7,655.49

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Solution

The fourth proportional to 11,905.10, 16,424.37 and 7,655.49 is: 10,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.10 : 16,424.37 = 7,655.49 : x
  2. Step 2: Convert to fraction form
    11,905.10/16,424.37 = 7,655.49/x
  3. Step 3: Cross multiply
    11,905.10x = 16,424.37 × 7,655.49
  4. Step 4: Simplify right side
    11,905.10x = 125,736,554.10
  5. Step 5: Solve for x
    x = 125,736,554.10/11,905.10
  6. Step 6: Final answer
    x = 10,561.57

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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.