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Finding the Fourth Proportional to 7,782.59, 11,675.10 and 2,587.25

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Solution

The fourth proportional to 7,782.59, 11,675.10 and 2,587.25 is: 3,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.59 : 11,675.10 = 2,587.25 : x
  2. Step 2: Convert to fraction form
    7,782.59/11,675.10 = 2,587.25/x
  3. Step 3: Cross multiply
    7,782.59x = 11,675.10 × 2,587.25
  4. Step 4: Simplify right side
    7,782.59x = 30,206,402.48
  5. Step 5: Solve for x
    x = 30,206,402.48/7,782.59
  6. Step 6: Final answer
    x = 3,881.28

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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.