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Finding the Fourth Proportional to 11,943.41, 16,477.08 and 7,219.49

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Solution

The fourth proportional to 11,943.41, 16,477.08 and 7,219.49 is: 9,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.41 : 16,477.08 = 7,219.49 : x
  2. Step 2: Convert to fraction form
    11,943.41/16,477.08 = 7,219.49/x
  3. Step 3: Cross multiply
    11,943.41x = 16,477.08 × 7,219.49
  4. Step 4: Simplify right side
    11,943.41x = 118,956,031.90
  5. Step 5: Solve for x
    x = 118,956,031.90/11,943.41
  6. Step 6: Final answer
    x = 9,959.98

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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.