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Finding the Fourth Proportional to 11,887.58, 16,405 and 6,582.50

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Solution

The fourth proportional to 11,887.58, 16,405 and 6,582.50 is: 9,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.58 : 16,405 = 6,582.50 : x
  2. Step 2: Convert to fraction form
    11,887.58/16,405 = 6,582.50/x
  3. Step 3: Cross multiply
    11,887.58x = 16,405 × 6,582.50
  4. Step 4: Simplify right side
    11,887.58x = 107,985,912.50
  5. Step 5: Solve for x
    x = 107,985,912.50/11,887.58
  6. Step 6: Final answer
    x = 9,083.93

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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.