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Finding the Fourth Proportional to 7,782.60, 11,675.10 and 2,587.26

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Solution

The fourth proportional to 7,782.60, 11,675.10 and 2,587.26 is: 3,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.60 : 11,675.10 = 2,587.26 : x
  2. Step 2: Convert to fraction form
    7,782.60/11,675.10 = 2,587.26/x
  3. Step 3: Cross multiply
    7,782.60x = 11,675.10 × 2,587.26
  4. Step 4: Simplify right side
    7,782.60x = 30,206,519.23
  5. Step 5: Solve for x
    x = 30,206,519.23/7,782.60
  6. Step 6: Final answer
    x = 3,881.29

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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.