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Finding the Fourth Proportional to 11,466.78, 15,826.96 and 6,993

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Solution

The fourth proportional to 11,466.78, 15,826.96 and 6,993 is: 9,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.78 : 15,826.96 = 6,993 : x
  2. Step 2: Convert to fraction form
    11,466.78/15,826.96 = 6,993/x
  3. Step 3: Cross multiply
    11,466.78x = 15,826.96 × 6,993
  4. Step 4: Simplify right side
    11,466.78x = 110,677,931.28
  5. Step 5: Solve for x
    x = 110,677,931.28/11,466.78
  6. Step 6: Final answer
    x = 9,652.05

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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.