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Finding the Fourth Proportional to 12,466.10, 17,198.96 and 7,088

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Solution

The fourth proportional to 12,466.10, 17,198.96 and 7,088 is: 9,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.10 : 17,198.96 = 7,088 : x
  2. Step 2: Convert to fraction form
    12,466.10/17,198.96 = 7,088/x
  3. Step 3: Cross multiply
    12,466.10x = 17,198.96 × 7,088
  4. Step 4: Simplify right side
    12,466.10x = 121,906,228.48
  5. Step 5: Solve for x
    x = 121,906,228.48/12,466.10
  6. Step 6: Final answer
    x = 9,779.02

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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.