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Finding the Fourth Proportional to 11,766.69, 16,237.40 and 6,460.65

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Solution

The fourth proportional to 11,766.69, 16,237.40 and 6,460.65 is: 8,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.69 : 16,237.40 = 6,460.65 : x
  2. Step 2: Convert to fraction form
    11,766.69/16,237.40 = 6,460.65/x
  3. Step 3: Cross multiply
    11,766.69x = 16,237.40 × 6,460.65
  4. Step 4: Simplify right side
    11,766.69x = 104,904,126.01
  5. Step 5: Solve for x
    x = 104,904,126.01/11,766.69
  6. Step 6: Final answer
    x = 8,915.35

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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.