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Finding the Fourth Proportional to 12,583.67, 17,364.06 and 7,548.10

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Solution

The fourth proportional to 12,583.67, 17,364.06 and 7,548.10 is: 10,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.67 : 17,364.06 = 7,548.10 : x
  2. Step 2: Convert to fraction form
    12,583.67/17,364.06 = 7,548.10/x
  3. Step 3: Cross multiply
    12,583.67x = 17,364.06 × 7,548.10
  4. Step 4: Simplify right side
    12,583.67x = 131,065,617.88
  5. Step 5: Solve for x
    x = 131,065,617.88/12,583.67
  6. Step 6: Final answer
    x = 10,415.54

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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.