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Finding the Fourth Proportional to 7,103.04, 9,803.85 and 4,120.53

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Solution

The fourth proportional to 7,103.04, 9,803.85 and 4,120.53 is: 5,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.04 : 9,803.85 = 4,120.53 : x
  2. Step 2: Convert to fraction form
    7,103.04/9,803.85 = 4,120.53/x
  3. Step 3: Cross multiply
    7,103.04x = 9,803.85 × 4,120.53
  4. Step 4: Simplify right side
    7,103.04x = 40,397,058.04
  5. Step 5: Solve for x
    x = 40,397,058.04/7,103.04
  6. Step 6: Final answer
    x = 5,687.29

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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.