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Finding the Fourth Proportional to 11,606.20, 16,017.18 and 6,827.60

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Solution

The fourth proportional to 11,606.20, 16,017.18 and 6,827.60 is: 9,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.20 : 16,017.18 = 6,827.60 : x
  2. Step 2: Convert to fraction form
    11,606.20/16,017.18 = 6,827.60/x
  3. Step 3: Cross multiply
    11,606.20x = 16,017.18 × 6,827.60
  4. Step 4: Simplify right side
    11,606.20x = 109,358,898.17
  5. Step 5: Solve for x
    x = 109,358,898.17/11,606.20
  6. Step 6: Final answer
    x = 9,422.46

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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.