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Finding the Fourth Proportional to 7,730.02, 11,595.84 and 2,536.84

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Solution

The fourth proportional to 7,730.02, 11,595.84 and 2,536.84 is: 3,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.02 : 11,595.84 = 2,536.84 : x
  2. Step 2: Convert to fraction form
    7,730.02/11,595.84 = 2,536.84/x
  3. Step 3: Cross multiply
    7,730.02x = 11,595.84 × 2,536.84
  4. Step 4: Simplify right side
    7,730.02x = 29,416,790.75
  5. Step 5: Solve for x
    x = 29,416,790.75/7,730.02
  6. Step 6: Final answer
    x = 3,805.53

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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.