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Finding the Fourth Proportional to 8,570.95, 11,826 and 5,425.31

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Solution

The fourth proportional to 8,570.95, 11,826 and 5,425.31 is: 7,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.95 : 11,826 = 5,425.31 : x
  2. Step 2: Convert to fraction form
    8,570.95/11,826 = 5,425.31/x
  3. Step 3: Cross multiply
    8,570.95x = 11,826 × 5,425.31
  4. Step 4: Simplify right side
    8,570.95x = 64,159,745.63
  5. Step 5: Solve for x
    x = 64,159,745.63/8,570.95
  6. Step 6: Final answer
    x = 7,485.72

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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.