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Finding the Fourth Proportional to 7,024.40, 9,695.60 and 4,040.56

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Solution

The fourth proportional to 7,024.40, 9,695.60 and 4,040.56 is: 5,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.40 : 9,695.60 = 4,040.56 : x
  2. Step 2: Convert to fraction form
    7,024.40/9,695.60 = 4,040.56/x
  3. Step 3: Cross multiply
    7,024.40x = 9,695.60 × 4,040.56
  4. Step 4: Simplify right side
    7,024.40x = 39,175,653.54
  5. Step 5: Solve for x
    x = 39,175,653.54/7,024.40
  6. Step 6: Final answer
    x = 5,577.08

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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.