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Finding the Fourth Proportional to 11,967.84, 17,982 and 7,587.36

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Solution

The fourth proportional to 11,967.84, 17,982 and 7,587.36 is: 11,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.84 : 17,982 = 7,587.36 : x
  2. Step 2: Convert to fraction form
    11,967.84/17,982 = 7,587.36/x
  3. Step 3: Cross multiply
    11,967.84x = 17,982 × 7,587.36
  4. Step 4: Simplify right side
    11,967.84x = 136,435,907.52
  5. Step 5: Solve for x
    x = 136,435,907.52/11,967.84
  6. Step 6: Final answer
    x = 11,400.21

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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.