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Finding the Fourth Proportional to 11,606.61, 16,017.46 and 6,301.76

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Solution

The fourth proportional to 11,606.61, 16,017.46 and 6,301.76 is: 8,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.61 : 16,017.46 = 6,301.76 : x
  2. Step 2: Convert to fraction form
    11,606.61/16,017.46 = 6,301.76/x
  3. Step 3: Cross multiply
    11,606.61x = 16,017.46 × 6,301.76
  4. Step 4: Simplify right side
    11,606.61x = 100,938,213.02
  5. Step 5: Solve for x
    x = 100,938,213.02/11,606.61
  6. Step 6: Final answer
    x = 8,696.61

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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.