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Finding the Fourth Proportional to 12,907.88, 17,811.72 and 7,873.58

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Solution

The fourth proportional to 12,907.88, 17,811.72 and 7,873.58 is: 10,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.88 : 17,811.72 = 7,873.58 : x
  2. Step 2: Convert to fraction form
    12,907.88/17,811.72 = 7,873.58/x
  3. Step 3: Cross multiply
    12,907.88x = 17,811.72 × 7,873.58
  4. Step 4: Simplify right side
    12,907.88x = 140,242,002.36
  5. Step 5: Solve for x
    x = 140,242,002.36/12,907.88
  6. Step 6: Final answer
    x = 10,864.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.