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Finding the Fourth Proportional to 7,852.71, 11,780.51 and 2,588.03

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Solution

The fourth proportional to 7,852.71, 11,780.51 and 2,588.03 is: 3,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.71 : 11,780.51 = 2,588.03 : x
  2. Step 2: Convert to fraction form
    7,852.71/11,780.51 = 2,588.03/x
  3. Step 3: Cross multiply
    7,852.71x = 11,780.51 × 2,588.03
  4. Step 4: Simplify right side
    7,852.71x = 30,488,344.36
  5. Step 5: Solve for x
    x = 30,488,344.36/7,852.71
  6. Step 6: Final answer
    x = 3,882.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.