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Finding the Fourth Proportional to 11,525.64, 15,907.38 and 6,810.12

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Solution

The fourth proportional to 11,525.64, 15,907.38 and 6,810.12 is: 9,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.64 : 15,907.38 = 6,810.12 : x
  2. Step 2: Convert to fraction form
    11,525.64/15,907.38 = 6,810.12/x
  3. Step 3: Cross multiply
    11,525.64x = 15,907.38 × 6,810.12
  4. Step 4: Simplify right side
    11,525.64x = 108,331,166.69
  5. Step 5: Solve for x
    x = 108,331,166.69/11,525.64
  6. Step 6: Final answer
    x = 9,399.15

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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.