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Finding the Fourth Proportional to 11,817.54, 16,307.55 and 6,511.95

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Solution

The fourth proportional to 11,817.54, 16,307.55 and 6,511.95 is: 8,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.54 : 16,307.55 = 6,511.95 : x
  2. Step 2: Convert to fraction form
    11,817.54/16,307.55 = 6,511.95/x
  3. Step 3: Cross multiply
    11,817.54x = 16,307.55 × 6,511.95
  4. Step 4: Simplify right side
    11,817.54x = 106,193,950.22
  5. Step 5: Solve for x
    x = 106,193,950.22/11,817.54
  6. Step 6: Final answer
    x = 8,986.13

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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.