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Finding the Fourth Proportional to 8,782.54, 12,118.71 and 5,245

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Solution

The fourth proportional to 8,782.54, 12,118.71 and 5,245 is: 7,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.54 : 12,118.71 = 5,245 : x
  2. Step 2: Convert to fraction form
    8,782.54/12,118.71 = 5,245/x
  3. Step 3: Cross multiply
    8,782.54x = 12,118.71 × 5,245
  4. Step 4: Simplify right side
    8,782.54x = 63,562,633.95
  5. Step 5: Solve for x
    x = 63,562,633.95/8,782.54
  6. Step 6: Final answer
    x = 7,237.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.