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Finding the Fourth Proportional to 12,597.56, 17,388.62 and 7,878.84

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Solution

The fourth proportional to 12,597.56, 17,388.62 and 7,878.84 is: 10,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.56 : 17,388.62 = 7,878.84 : x
  2. Step 2: Convert to fraction form
    12,597.56/17,388.62 = 7,878.84/x
  3. Step 3: Cross multiply
    12,597.56x = 17,388.62 × 7,878.84
  4. Step 4: Simplify right side
    12,597.56x = 137,002,154.80
  5. Step 5: Solve for x
    x = 137,002,154.80/12,597.56
  6. Step 6: Final answer
    x = 10,875.29

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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.