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Finding the Fourth Proportional to 7,506.92, 11,256.06 and 2,311.40

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Solution

The fourth proportional to 7,506.92, 11,256.06 and 2,311.40 is: 3,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.92 : 11,256.06 = 2,311.40 : x
  2. Step 2: Convert to fraction form
    7,506.92/11,256.06 = 2,311.40/x
  3. Step 3: Cross multiply
    7,506.92x = 11,256.06 × 2,311.40
  4. Step 4: Simplify right side
    7,506.92x = 26,017,257.08
  5. Step 5: Solve for x
    x = 26,017,257.08/7,506.92
  6. Step 6: Final answer
    x = 3,465.77

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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.