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Finding the Fourth Proportional to 12,507.82, 17,258.88 and 7,201.78

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Solution

The fourth proportional to 12,507.82, 17,258.88 and 7,201.78 is: 9,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.82 : 17,258.88 = 7,201.78 : x
  2. Step 2: Convert to fraction form
    12,507.82/17,258.88 = 7,201.78/x
  3. Step 3: Cross multiply
    12,507.82x = 17,258.88 × 7,201.78
  4. Step 4: Simplify right side
    12,507.82x = 124,294,656.81
  5. Step 5: Solve for x
    x = 124,294,656.81/12,507.82
  6. Step 6: Final answer
    x = 9,937.36

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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.