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Finding the Fourth Proportional to 12,907, 17,803.74 and 7,868.80

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Solution

The fourth proportional to 12,907, 17,803.74 and 7,868.80 is: 10,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907 : 17,803.74 = 7,868.80 : x
  2. Step 2: Convert to fraction form
    12,907/17,803.74 = 7,868.80/x
  3. Step 3: Cross multiply
    12,907x = 17,803.74 × 7,868.80
  4. Step 4: Simplify right side
    12,907x = 140,094,069.31
  5. Step 5: Solve for x
    x = 140,094,069.31/12,907
  6. Step 6: Final answer
    x = 10,854.12

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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.