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Finding the Fourth Proportional to 12,586.94, 17,365.82 and 7,277.99

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Solution

The fourth proportional to 12,586.94, 17,365.82 and 7,277.99 is: 10,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.94 : 17,365.82 = 7,277.99 : x
  2. Step 2: Convert to fraction form
    12,586.94/17,365.82 = 7,277.99/x
  3. Step 3: Cross multiply
    12,586.94x = 17,365.82 × 7,277.99
  4. Step 4: Simplify right side
    12,586.94x = 126,388,271.33
  5. Step 5: Solve for x
    x = 126,388,271.33/12,586.94
  6. Step 6: Final answer
    x = 10,041.23

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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.