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Finding the Fourth Proportional to 7,928.84, 11,893.32 and 2,085.50

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Solution

The fourth proportional to 7,928.84, 11,893.32 and 2,085.50 is: 3,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.84 : 11,893.32 = 2,085.50 : x
  2. Step 2: Convert to fraction form
    7,928.84/11,893.32 = 2,085.50/x
  3. Step 3: Cross multiply
    7,928.84x = 11,893.32 × 2,085.50
  4. Step 4: Simplify right side
    7,928.84x = 24,803,518.86
  5. Step 5: Solve for x
    x = 24,803,518.86/7,928.84
  6. Step 6: Final answer
    x = 3,128.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.