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Finding the Fourth Proportional to 7,894.32, 10,894.08 and 4,357.46

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Solution

The fourth proportional to 7,894.32, 10,894.08 and 4,357.46 is: 6,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.32 : 10,894.08 = 4,357.46 : x
  2. Step 2: Convert to fraction form
    7,894.32/10,894.08 = 4,357.46/x
  3. Step 3: Cross multiply
    7,894.32x = 10,894.08 × 4,357.46
  4. Step 4: Simplify right side
    7,894.32x = 47,470,517.84
  5. Step 5: Solve for x
    x = 47,470,517.84/7,894.32
  6. Step 6: Final answer
    x = 6,013.25

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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.