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Finding the Fourth Proportional to 12,473.16, 17,212.79 and 6,808

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Solution

The fourth proportional to 12,473.16, 17,212.79 and 6,808 is: 9,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.16 : 17,212.79 = 6,808 : x
  2. Step 2: Convert to fraction form
    12,473.16/17,212.79 = 6,808/x
  3. Step 3: Cross multiply
    12,473.16x = 17,212.79 × 6,808
  4. Step 4: Simplify right side
    12,473.16x = 117,184,674.32
  5. Step 5: Solve for x
    x = 117,184,674.32/12,473.16
  6. Step 6: Final answer
    x = 9,394.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.