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Finding the Fourth Proportional to 7,216.25, 10,823.31 and 4,441.50

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Solution

The fourth proportional to 7,216.25, 10,823.31 and 4,441.50 is: 6,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.25 : 10,823.31 = 4,441.50 : x
  2. Step 2: Convert to fraction form
    7,216.25/10,823.31 = 4,441.50/x
  3. Step 3: Cross multiply
    7,216.25x = 10,823.31 × 4,441.50
  4. Step 4: Simplify right side
    7,216.25x = 48,071,731.37
  5. Step 5: Solve for x
    x = 48,071,731.37/7,216.25
  6. Step 6: Final answer
    x = 6,661.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.