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Finding the Fourth Proportional to 11,300, 15,594 and 6,584.28

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Solution

The fourth proportional to 11,300, 15,594 and 6,584.28 is: 9,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300 : 15,594 = 6,584.28 : x
  2. Step 2: Convert to fraction form
    11,300/15,594 = 6,584.28/x
  3. Step 3: Cross multiply
    11,300x = 15,594 × 6,584.28
  4. Step 4: Simplify right side
    11,300x = 102,675,262.32
  5. Step 5: Solve for x
    x = 102,675,262.32/11,300
  6. Step 6: Final answer
    x = 9,086.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.