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Finding the Fourth Proportional to 12,756.72, 17,603.82 and 7,091.40

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Solution

The fourth proportional to 12,756.72, 17,603.82 and 7,091.40 is: 9,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.72 : 17,603.82 = 7,091.40 : x
  2. Step 2: Convert to fraction form
    12,756.72/17,603.82 = 7,091.40/x
  3. Step 3: Cross multiply
    12,756.72x = 17,603.82 × 7,091.40
  4. Step 4: Simplify right side
    12,756.72x = 124,835,729.15
  5. Step 5: Solve for x
    x = 124,835,729.15/12,756.72
  6. Step 6: Final answer
    x = 9,785.88

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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.