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Finding the Fourth Proportional to 7,722.48, 11,577.24 and 6,258

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Solution

The fourth proportional to 7,722.48, 11,577.24 and 6,258 is: 9,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.48 : 11,577.24 = 6,258 : x
  2. Step 2: Convert to fraction form
    7,722.48/11,577.24 = 6,258/x
  3. Step 3: Cross multiply
    7,722.48x = 11,577.24 × 6,258
  4. Step 4: Simplify right side
    7,722.48x = 72,450,367.92
  5. Step 5: Solve for x
    x = 72,450,367.92/7,722.48
  6. Step 6: Final answer
    x = 9,381.75

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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.