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Finding the Fourth Proportional to 7,704.54, 11,564.03 and 4,009.39

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Solution

The fourth proportional to 7,704.54, 11,564.03 and 4,009.39 is: 6,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.54 : 11,564.03 = 4,009.39 : x
  2. Step 2: Convert to fraction form
    7,704.54/11,564.03 = 4,009.39/x
  3. Step 3: Cross multiply
    7,704.54x = 11,564.03 × 4,009.39
  4. Step 4: Simplify right side
    7,704.54x = 46,364,687.36
  5. Step 5: Solve for x
    x = 46,364,687.36/7,704.54
  6. Step 6: Final answer
    x = 6,017.84

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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.