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Finding the Fourth Proportional to 7,870.38, 11,803.68 and 2,322.23

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Solution

The fourth proportional to 7,870.38, 11,803.68 and 2,322.23 is: 3,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.38 : 11,803.68 = 2,322.23 : x
  2. Step 2: Convert to fraction form
    7,870.38/11,803.68 = 2,322.23/x
  3. Step 3: Cross multiply
    7,870.38x = 11,803.68 × 2,322.23
  4. Step 4: Simplify right side
    7,870.38x = 27,410,800.79
  5. Step 5: Solve for x
    x = 27,410,800.79/7,870.38
  6. Step 6: Final answer
    x = 3,482.78

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