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Finding the Fourth Proportional to 7,078.64, 10,618.48 and 1,884.36

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Solution

The fourth proportional to 7,078.64, 10,618.48 and 1,884.36 is: 2,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.64 : 10,618.48 = 1,884.36 : x
  2. Step 2: Convert to fraction form
    7,078.64/10,618.48 = 1,884.36/x
  3. Step 3: Cross multiply
    7,078.64x = 10,618.48 × 1,884.36
  4. Step 4: Simplify right side
    7,078.64x = 20,009,038.97
  5. Step 5: Solve for x
    x = 20,009,038.97/7,078.64
  6. Step 6: Final answer
    x = 2,826.68

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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.