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Finding the Fourth Proportional to 11,886.85, 16,403.84 and 6,582

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Solution

The fourth proportional to 11,886.85, 16,403.84 and 6,582 is: 9,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.85 : 16,403.84 = 6,582 : x
  2. Step 2: Convert to fraction form
    11,886.85/16,403.84 = 6,582/x
  3. Step 3: Cross multiply
    11,886.85x = 16,403.84 × 6,582
  4. Step 4: Simplify right side
    11,886.85x = 107,970,091.34
  5. Step 5: Solve for x
    x = 107,970,091.34/11,886.85
  6. Step 6: Final answer
    x = 9,083.16

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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.