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Finding the Fourth Proportional to 12,577.86, 17,358.81 and 7,863.66

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Solution

The fourth proportional to 12,577.86, 17,358.81 and 7,863.66 is: 10,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.86 : 17,358.81 = 7,863.66 : x
  2. Step 2: Convert to fraction form
    12,577.86/17,358.81 = 7,863.66/x
  3. Step 3: Cross multiply
    12,577.86x = 17,358.81 × 7,863.66
  4. Step 4: Simplify right side
    12,577.86x = 136,503,779.84
  5. Step 5: Solve for x
    x = 136,503,779.84/12,577.86
  6. Step 6: Final answer
    x = 10,852.70

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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.