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Finding the Fourth Proportional to 11,965.48, 16,512.90 and 6,929.98

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Solution

The fourth proportional to 11,965.48, 16,512.90 and 6,929.98 is: 9,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.48 : 16,512.90 = 6,929.98 : x
  2. Step 2: Convert to fraction form
    11,965.48/16,512.90 = 6,929.98/x
  3. Step 3: Cross multiply
    11,965.48x = 16,512.90 × 6,929.98
  4. Step 4: Simplify right side
    11,965.48x = 114,434,066.74
  5. Step 5: Solve for x
    x = 114,434,066.74/11,965.48
  6. Step 6: Final answer
    x = 9,563.68

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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.