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Finding the Fourth Proportional to 7,894.90, 10,894.50 and 4,535.35

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Solution

The fourth proportional to 7,894.90, 10,894.50 and 4,535.35 is: 6,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.90 : 10,894.50 = 4,535.35 : x
  2. Step 2: Convert to fraction form
    7,894.90/10,894.50 = 4,535.35/x
  3. Step 3: Cross multiply
    7,894.90x = 10,894.50 × 4,535.35
  4. Step 4: Simplify right side
    7,894.90x = 49,410,370.58
  5. Step 5: Solve for x
    x = 49,410,370.58/7,894.90
  6. Step 6: Final answer
    x = 6,258.52

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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.