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Finding the Fourth Proportional to 12,961.02, 17,886.79 and 7,655.86

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Solution

The fourth proportional to 12,961.02, 17,886.79 and 7,655.86 is: 10,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.02 : 17,886.79 = 7,655.86 : x
  2. Step 2: Convert to fraction form
    12,961.02/17,886.79 = 7,655.86/x
  3. Step 3: Cross multiply
    12,961.02x = 17,886.79 × 7,655.86
  4. Step 4: Simplify right side
    12,961.02x = 136,938,760.09
  5. Step 5: Solve for x
    x = 136,938,760.09/12,961.02
  6. Step 6: Final answer
    x = 10,565.43

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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.