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Finding the Fourth Proportional to 7,782.57, 11,673.95 and 2,588.45

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Solution

The fourth proportional to 7,782.57, 11,673.95 and 2,588.45 is: 3,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.57 : 11,673.95 = 2,588.45 : x
  2. Step 2: Convert to fraction form
    7,782.57/11,673.95 = 2,588.45/x
  3. Step 3: Cross multiply
    7,782.57x = 11,673.95 × 2,588.45
  4. Step 4: Simplify right side
    7,782.57x = 30,217,364.57
  5. Step 5: Solve for x
    x = 30,217,364.57/7,782.57
  6. Step 6: Final answer
    x = 3,882.70

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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.