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Finding the Fourth Proportional to 8,804.32, 13,208.52 and 2,564.48

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Solution

The fourth proportional to 8,804.32, 13,208.52 and 2,564.48 is: 3,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,804.32 : 13,208.52 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    8,804.32/13,208.52 = 2,564.48/x
  3. Step 3: Cross multiply
    8,804.32x = 13,208.52 × 2,564.48
  4. Step 4: Simplify right side
    8,804.32x = 33,872,985.37
  5. Step 5: Solve for x
    x = 33,872,985.37/8,804.32
  6. Step 6: Final answer
    x = 3,847.31

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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.