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Finding the Fourth Proportional to 12,762.96, 17,611.98 and 7,985.04

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Solution

The fourth proportional to 12,762.96, 17,611.98 and 7,985.04 is: 11,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.96 : 17,611.98 = 7,985.04 : x
  2. Step 2: Convert to fraction form
    12,762.96/17,611.98 = 7,985.04/x
  3. Step 3: Cross multiply
    12,762.96x = 17,611.98 × 7,985.04
  4. Step 4: Simplify right side
    12,762.96x = 140,632,364.78
  5. Step 5: Solve for x
    x = 140,632,364.78/12,762.96
  6. Step 6: Final answer
    x = 11,018.79

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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.