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Finding the Fourth Proportional to 7,258.96, 10,016.86 and 4,274.16

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Solution

The fourth proportional to 7,258.96, 10,016.86 and 4,274.16 is: 5,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.96 : 10,016.86 = 4,274.16 : x
  2. Step 2: Convert to fraction form
    7,258.96/10,016.86 = 4,274.16/x
  3. Step 3: Cross multiply
    7,258.96x = 10,016.86 × 4,274.16
  4. Step 4: Simplify right side
    7,258.96x = 42,813,590.88
  5. Step 5: Solve for x
    x = 42,813,590.88/7,258.96
  6. Step 6: Final answer
    x = 5,898.04

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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.