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Finding the Fourth Proportional to 7,880.96, 11,821.50 and 2,258.64

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Solution

The fourth proportional to 7,880.96, 11,821.50 and 2,258.64 is: 3,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.96 : 11,821.50 = 2,258.64 : x
  2. Step 2: Convert to fraction form
    7,880.96/11,821.50 = 2,258.64/x
  3. Step 3: Cross multiply
    7,880.96x = 11,821.50 × 2,258.64
  4. Step 4: Simplify right side
    7,880.96x = 26,700,512.76
  5. Step 5: Solve for x
    x = 26,700,512.76/7,880.96
  6. Step 6: Final answer
    x = 3,387.98

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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.