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Finding the Fourth Proportional to 7,345.75, 10,138.53 and 4,363.21

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Solution

The fourth proportional to 7,345.75, 10,138.53 and 4,363.21 is: 6,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.75 : 10,138.53 = 4,363.21 : x
  2. Step 2: Convert to fraction form
    7,345.75/10,138.53 = 4,363.21/x
  3. Step 3: Cross multiply
    7,345.75x = 10,138.53 × 4,363.21
  4. Step 4: Simplify right side
    7,345.75x = 44,236,535.48
  5. Step 5: Solve for x
    x = 44,236,535.48/7,345.75
  6. Step 6: Final answer
    x = 6,022.06

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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.