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Finding the Fourth Proportional to 11,846.49, 16,347.74 and 6,541.29

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Solution

The fourth proportional to 11,846.49, 16,347.74 and 6,541.29 is: 9,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.49 : 16,347.74 = 6,541.29 : x
  2. Step 2: Convert to fraction form
    11,846.49/16,347.74 = 6,541.29/x
  3. Step 3: Cross multiply
    11,846.49x = 16,347.74 × 6,541.29
  4. Step 4: Simplify right side
    11,846.49x = 106,935,275.48
  5. Step 5: Solve for x
    x = 106,935,275.48/11,846.49
  6. Step 6: Final answer
    x = 9,026.75

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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.