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Finding the Fourth Proportional to 7,323.50, 10,106.46 and 3,966.32

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Solution

The fourth proportional to 7,323.50, 10,106.46 and 3,966.32 is: 5,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.50 : 10,106.46 = 3,966.32 : x
  2. Step 2: Convert to fraction form
    7,323.50/10,106.46 = 3,966.32/x
  3. Step 3: Cross multiply
    7,323.50x = 10,106.46 × 3,966.32
  4. Step 4: Simplify right side
    7,323.50x = 40,085,403.89
  5. Step 5: Solve for x
    x = 40,085,403.89/7,323.50
  6. Step 6: Final answer
    x = 5,473.53

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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.