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Finding the Fourth Proportional to 11,817.60, 16,307.52 and 6,512.08

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Solution

The fourth proportional to 11,817.60, 16,307.52 and 6,512.08 is: 8,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.60 : 16,307.52 = 6,512.08 : x
  2. Step 2: Convert to fraction form
    11,817.60/16,307.52 = 6,512.08/x
  3. Step 3: Cross multiply
    11,817.60x = 16,307.52 × 6,512.08
  4. Step 4: Simplify right side
    11,817.60x = 106,195,874.84
  5. Step 5: Solve for x
    x = 106,195,874.84/11,817.60
  6. Step 6: Final answer
    x = 8,986.25

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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.