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Finding the Fourth Proportional to 7,794.83, 10,757.61 and 4,258.58

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Solution

The fourth proportional to 7,794.83, 10,757.61 and 4,258.58 is: 5,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.83 : 10,757.61 = 4,258.58 : x
  2. Step 2: Convert to fraction form
    7,794.83/10,757.61 = 4,258.58/x
  3. Step 3: Cross multiply
    7,794.83x = 10,757.61 × 4,258.58
  4. Step 4: Simplify right side
    7,794.83x = 45,812,089.01
  5. Step 5: Solve for x
    x = 45,812,089.01/7,794.83
  6. Step 6: Final answer
    x = 5,877.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.