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Finding the Fourth Proportional to 12,507.95, 17,255.62 and 7,201.64

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Solution

The fourth proportional to 12,507.95, 17,255.62 and 7,201.64 is: 9,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.95 : 17,255.62 = 7,201.64 : x
  2. Step 2: Convert to fraction form
    12,507.95/17,255.62 = 7,201.64/x
  3. Step 3: Cross multiply
    12,507.95x = 17,255.62 × 7,201.64
  4. Step 4: Simplify right side
    12,507.95x = 124,268,763.22
  5. Step 5: Solve for x
    x = 124,268,763.22/12,507.95
  6. Step 6: Final answer
    x = 9,935.18

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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.