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Finding the Fourth Proportional to 7,894.14, 10,897.84 and 4,910.94

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Solution

The fourth proportional to 7,894.14, 10,897.84 and 4,910.94 is: 6,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.14 : 10,897.84 = 4,910.94 : x
  2. Step 2: Convert to fraction form
    7,894.14/10,897.84 = 4,910.94/x
  3. Step 3: Cross multiply
    7,894.14x = 10,897.84 × 4,910.94
  4. Step 4: Simplify right side
    7,894.14x = 53,518,638.37
  5. Step 5: Solve for x
    x = 53,518,638.37/7,894.14
  6. Step 6: Final answer
    x = 6,779.54

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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.