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Finding the Fourth Proportional to 7,853.94, 11,782.64 and 2,588.74

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Solution

The fourth proportional to 7,853.94, 11,782.64 and 2,588.74 is: 3,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.94 : 11,782.64 = 2,588.74 : x
  2. Step 2: Convert to fraction form
    7,853.94/11,782.64 = 2,588.74/x
  3. Step 3: Cross multiply
    7,853.94x = 11,782.64 × 2,588.74
  4. Step 4: Simplify right side
    7,853.94x = 30,502,168.49
  5. Step 5: Solve for x
    x = 30,502,168.49/7,853.94
  6. Step 6: Final answer
    x = 3,883.68

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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.