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Finding the Fourth Proportional to 12,003.59, 16,564.07 and 6,967.00

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Solution

The fourth proportional to 12,003.59, 16,564.07 and 6,967.00 is: 9,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.59 : 16,564.07 = 6,967.00 : x
  2. Step 2: Convert to fraction form
    12,003.59/16,564.07 = 6,967.00/x
  3. Step 3: Cross multiply
    12,003.59x = 16,564.07 × 6,967.00
  4. Step 4: Simplify right side
    12,003.59x = 115,401,796.47
  5. Step 5: Solve for x
    x = 115,401,796.47/12,003.59
  6. Step 6: Final answer
    x = 9,613.94

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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.