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Finding the Fourth Proportional to 7,790.84, 11,686.32 and 2,596.72

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Solution

The fourth proportional to 7,790.84, 11,686.32 and 2,596.72 is: 3,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.84 : 11,686.32 = 2,596.72 : x
  2. Step 2: Convert to fraction form
    7,790.84/11,686.32 = 2,596.72/x
  3. Step 3: Cross multiply
    7,790.84x = 11,686.32 × 2,596.72
  4. Step 4: Simplify right side
    7,790.84x = 30,346,100.87
  5. Step 5: Solve for x
    x = 30,346,100.87/7,790.84
  6. Step 6: Final answer
    x = 3,895.10

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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.