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Finding the Fourth Proportional to 12,762.06, 17,616.41 and 7,458.58

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Solution

The fourth proportional to 12,762.06, 17,616.41 and 7,458.58 is: 10,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.06 : 17,616.41 = 7,458.58 : x
  2. Step 2: Convert to fraction form
    12,762.06/17,616.41 = 7,458.58/x
  3. Step 3: Cross multiply
    12,762.06x = 17,616.41 × 7,458.58
  4. Step 4: Simplify right side
    12,762.06x = 131,393,403.30
  5. Step 5: Solve for x
    x = 131,393,403.30/12,762.06
  6. Step 6: Final answer
    x = 10,295.63

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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.