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Finding the Fourth Proportional to 7,762.16, 11,644.92 and 2,567.84

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Solution

The fourth proportional to 7,762.16, 11,644.92 and 2,567.84 is: 3,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.16 : 11,644.92 = 2,567.84 : x
  2. Step 2: Convert to fraction form
    7,762.16/11,644.92 = 2,567.84/x
  3. Step 3: Cross multiply
    7,762.16x = 11,644.92 × 2,567.84
  4. Step 4: Simplify right side
    7,762.16x = 29,902,291.37
  5. Step 5: Solve for x
    x = 29,902,291.37/7,762.16
  6. Step 6: Final answer
    x = 3,852.32

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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.