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Finding the Fourth Proportional to 11,612.52, 16,026.72 and 7,365.60

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Solution

The fourth proportional to 11,612.52, 16,026.72 and 7,365.60 is: 10,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.52 : 16,026.72 = 7,365.60 : x
  2. Step 2: Convert to fraction form
    11,612.52/16,026.72 = 7,365.60/x
  3. Step 3: Cross multiply
    11,612.52x = 16,026.72 × 7,365.60
  4. Step 4: Simplify right side
    11,612.52x = 118,046,408.83
  5. Step 5: Solve for x
    x = 118,046,408.83/11,612.52
  6. Step 6: Final answer
    x = 10,165.44

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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.