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Finding the Fourth Proportional to 8,738.72, 13,040.52 and 7,804.24

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Solution

The fourth proportional to 8,738.72, 13,040.52 and 7,804.24 is: 11,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.72 : 13,040.52 = 7,804.24 : x
  2. Step 2: Convert to fraction form
    8,738.72/13,040.52 = 7,804.24/x
  3. Step 3: Cross multiply
    8,738.72x = 13,040.52 × 7,804.24
  4. Step 4: Simplify right side
    8,738.72x = 101,771,347.80
  5. Step 5: Solve for x
    x = 101,771,347.80/8,738.72
  6. Step 6: Final answer
    x = 11,646.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.