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Finding the Fourth Proportional to 12,453.07, 17,186.97 and 7,150

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Solution

The fourth proportional to 12,453.07, 17,186.97 and 7,150 is: 9,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.07 : 17,186.97 = 7,150 : x
  2. Step 2: Convert to fraction form
    12,453.07/17,186.97 = 7,150/x
  3. Step 3: Cross multiply
    12,453.07x = 17,186.97 × 7,150
  4. Step 4: Simplify right side
    12,453.07x = 122,886,835.50
  5. Step 5: Solve for x
    x = 122,886,835.50/12,453.07
  6. Step 6: Final answer
    x = 9,868.00

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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.