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Finding the Fourth Proportional to 7,870.41, 11,803.91 and 2,322.81

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Solution

The fourth proportional to 7,870.41, 11,803.91 and 2,322.81 is: 3,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.41 : 11,803.91 = 2,322.81 : x
  2. Step 2: Convert to fraction form
    7,870.41/11,803.91 = 2,322.81/x
  3. Step 3: Cross multiply
    7,870.41x = 11,803.91 × 2,322.81
  4. Step 4: Simplify right side
    7,870.41x = 27,418,228.57
  5. Step 5: Solve for x
    x = 27,418,228.57/7,870.41
  6. Step 6: Final answer
    x = 3,483.71

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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.