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Finding the Fourth Proportional to 7,804.36, 11,710.86 and 3,187

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Solution

The fourth proportional to 7,804.36, 11,710.86 and 3,187 is: 4,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.36 : 11,710.86 = 3,187 : x
  2. Step 2: Convert to fraction form
    7,804.36/11,710.86 = 3,187/x
  3. Step 3: Cross multiply
    7,804.36x = 11,710.86 × 3,187
  4. Step 4: Simplify right side
    7,804.36x = 37,322,510.82
  5. Step 5: Solve for x
    x = 37,322,510.82/7,804.36
  6. Step 6: Final answer
    x = 4,782.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.