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Finding the Fourth Proportional to 8,739.40, 12,055.64 and 5,201.93

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Solution

The fourth proportional to 8,739.40, 12,055.64 and 5,201.93 is: 7,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.40 : 12,055.64 = 5,201.93 : x
  2. Step 2: Convert to fraction form
    8,739.40/12,055.64 = 5,201.93/x
  3. Step 3: Cross multiply
    8,739.40x = 12,055.64 × 5,201.93
  4. Step 4: Simplify right side
    8,739.40x = 62,712,591.54
  5. Step 5: Solve for x
    x = 62,712,591.54/8,739.40
  6. Step 6: Final answer
    x = 7,175.84

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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.