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Finding the Fourth Proportional to 11,886.66, 16,403.84 and 6,509.33

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Solution

The fourth proportional to 11,886.66, 16,403.84 and 6,509.33 is: 8,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.66 : 16,403.84 = 6,509.33 : x
  2. Step 2: Convert to fraction form
    11,886.66/16,403.84 = 6,509.33/x
  3. Step 3: Cross multiply
    11,886.66x = 16,403.84 × 6,509.33
  4. Step 4: Simplify right side
    11,886.66x = 106,777,893.26
  5. Step 5: Solve for x
    x = 106,777,893.26/11,886.66
  6. Step 6: Final answer
    x = 8,983.00

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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.