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Finding the Fourth Proportional to 6,154.16, 8,477.91 and 4,894.83

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Solution

The fourth proportional to 6,154.16, 8,477.91 and 4,894.83 is: 6,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.16 : 8,477.91 = 4,894.83 : x
  2. Step 2: Convert to fraction form
    6,154.16/8,477.91 = 4,894.83/x
  3. Step 3: Cross multiply
    6,154.16x = 8,477.91 × 4,894.83
  4. Step 4: Simplify right side
    6,154.16x = 41,497,928.21
  5. Step 5: Solve for x
    x = 41,497,928.21/6,154.16
  6. Step 6: Final answer
    x = 6,743.07

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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.