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Finding the Fourth Proportional to 7,893.05, 11,835.32 and 4,776.57

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Solution

The fourth proportional to 7,893.05, 11,835.32 and 4,776.57 is: 7,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.05 : 11,835.32 = 4,776.57 : x
  2. Step 2: Convert to fraction form
    7,893.05/11,835.32 = 4,776.57/x
  3. Step 3: Cross multiply
    7,893.05x = 11,835.32 × 4,776.57
  4. Step 4: Simplify right side
    7,893.05x = 56,532,210.57
  5. Step 5: Solve for x
    x = 56,532,210.57/7,893.05
  6. Step 6: Final answer
    x = 7,162.28

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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.