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Finding the Fourth Proportional to 11,466.90, 15,825.14 and 6,364.09

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Solution

The fourth proportional to 11,466.90, 15,825.14 and 6,364.09 is: 8,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.90 : 15,825.14 = 6,364.09 : x
  2. Step 2: Convert to fraction form
    11,466.90/15,825.14 = 6,364.09/x
  3. Step 3: Cross multiply
    11,466.90x = 15,825.14 × 6,364.09
  4. Step 4: Simplify right side
    11,466.90x = 100,712,615.22
  5. Step 5: Solve for x
    x = 100,712,615.22/11,466.90
  6. Step 6: Final answer
    x = 8,782.90

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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.