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Finding the Fourth Proportional to 11,541.44, 15,927 and 6,506.12

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Solution

The fourth proportional to 11,541.44, 15,927 and 6,506.12 is: 8,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541.44 : 15,927 = 6,506.12 : x
  2. Step 2: Convert to fraction form
    11,541.44/15,927 = 6,506.12/x
  3. Step 3: Cross multiply
    11,541.44x = 15,927 × 6,506.12
  4. Step 4: Simplify right side
    11,541.44x = 103,622,973.24
  5. Step 5: Solve for x
    x = 103,622,973.24/11,541.44
  6. Step 6: Final answer
    x = 8,978.34

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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.