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Finding the Fourth Proportional to 7,873.48, 11,813.46 and 4,362.94

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Solution

The fourth proportional to 7,873.48, 11,813.46 and 4,362.94 is: 6,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.48 : 11,813.46 = 4,362.94 : x
  2. Step 2: Convert to fraction form
    7,873.48/11,813.46 = 4,362.94/x
  3. Step 3: Cross multiply
    7,873.48x = 11,813.46 × 4,362.94
  4. Step 4: Simplify right side
    7,873.48x = 51,541,417.17
  5. Step 5: Solve for x
    x = 51,541,417.17/7,873.48
  6. Step 6: Final answer
    x = 6,546.21

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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.