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Finding the Fourth Proportional to 7,860.96, 11,790.63 and 2,595.78

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Solution

The fourth proportional to 7,860.96, 11,790.63 and 2,595.78 is: 3,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.96 : 11,790.63 = 2,595.78 : x
  2. Step 2: Convert to fraction form
    7,860.96/11,790.63 = 2,595.78/x
  3. Step 3: Cross multiply
    7,860.96x = 11,790.63 × 2,595.78
  4. Step 4: Simplify right side
    7,860.96x = 30,605,881.54
  5. Step 5: Solve for x
    x = 30,605,881.54/7,860.96
  6. Step 6: Final answer
    x = 3,893.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.