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Finding the Fourth Proportional to 7,894.34, 10,893.66 and 4,534.80

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Solution

The fourth proportional to 7,894.34, 10,893.66 and 4,534.80 is: 6,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.34 : 10,893.66 = 4,534.80 : x
  2. Step 2: Convert to fraction form
    7,894.34/10,893.66 = 4,534.80/x
  3. Step 3: Cross multiply
    7,894.34x = 10,893.66 × 4,534.80
  4. Step 4: Simplify right side
    7,894.34x = 49,400,569.37
  5. Step 5: Solve for x
    x = 49,400,569.37/7,894.34
  6. Step 6: Final answer
    x = 6,257.72

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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.