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Finding the Fourth Proportional to 11,606.46, 16,018.47 and 7,359.63

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Solution

The fourth proportional to 11,606.46, 16,018.47 and 7,359.63 is: 10,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.46 : 16,018.47 = 7,359.63 : x
  2. Step 2: Convert to fraction form
    11,606.46/16,018.47 = 7,359.63/x
  3. Step 3: Cross multiply
    11,606.46x = 16,018.47 × 7,359.63
  4. Step 4: Simplify right side
    11,606.46x = 117,890,012.37
  5. Step 5: Solve for x
    x = 117,890,012.37/11,606.46
  6. Step 6: Final answer
    x = 10,157.28

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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.