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Finding the Fourth Proportional to 12,583.85, 17,365.34 and 7,206.11

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Solution

The fourth proportional to 12,583.85, 17,365.34 and 7,206.11 is: 9,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.85 : 17,365.34 = 7,206.11 : x
  2. Step 2: Convert to fraction form
    12,583.85/17,365.34 = 7,206.11/x
  3. Step 3: Cross multiply
    12,583.85x = 17,365.34 × 7,206.11
  4. Step 4: Simplify right side
    12,583.85x = 125,136,550.23
  5. Step 5: Solve for x
    x = 125,136,550.23/12,583.85
  6. Step 6: Final answer
    x = 9,944.22

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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.