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Finding the Fourth Proportional to 8,024.36, 11,095.14 and 7,040.36

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Solution

The fourth proportional to 8,024.36, 11,095.14 and 7,040.36 is: 9,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.36 : 11,095.14 = 7,040.36 : x
  2. Step 2: Convert to fraction form
    8,024.36/11,095.14 = 7,040.36/x
  3. Step 3: Cross multiply
    8,024.36x = 11,095.14 × 7,040.36
  4. Step 4: Simplify right side
    8,024.36x = 78,113,779.85
  5. Step 5: Solve for x
    x = 78,113,779.85/8,024.36
  6. Step 6: Final answer
    x = 9,734.58

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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.