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Finding the Fourth Proportional to 11,600.46, 16,008.51 and 6,564.54

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Solution

The fourth proportional to 11,600.46, 16,008.51 and 6,564.54 is: 9,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.46 : 16,008.51 = 6,564.54 : x
  2. Step 2: Convert to fraction form
    11,600.46/16,008.51 = 6,564.54/x
  3. Step 3: Cross multiply
    11,600.46x = 16,008.51 × 6,564.54
  4. Step 4: Simplify right side
    11,600.46x = 105,088,504.24
  5. Step 5: Solve for x
    x = 105,088,504.24/11,600.46
  6. Step 6: Final answer
    x = 9,058.99

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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.