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Finding the Fourth Proportional to 11,650.60, 16,087.30 and 9,497.48

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Solution

The fourth proportional to 11,650.60, 16,087.30 and 9,497.48 is: 13,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.60 : 16,087.30 = 9,497.48 : x
  2. Step 2: Convert to fraction form
    11,650.60/16,087.30 = 9,497.48/x
  3. Step 3: Cross multiply
    11,650.60x = 16,087.30 × 9,497.48
  4. Step 4: Simplify right side
    11,650.60x = 152,788,705.82
  5. Step 5: Solve for x
    x = 152,788,705.82/11,650.60
  6. Step 6: Final answer
    x = 13,114.24

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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.