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Finding the Fourth Proportional to 12,378.25, 17,081.90 and 6,713.01

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Solution

The fourth proportional to 12,378.25, 17,081.90 and 6,713.01 is: 9,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.25 : 17,081.90 = 6,713.01 : x
  2. Step 2: Convert to fraction form
    12,378.25/17,081.90 = 6,713.01/x
  3. Step 3: Cross multiply
    12,378.25x = 17,081.90 × 6,713.01
  4. Step 4: Simplify right side
    12,378.25x = 114,670,965.52
  5. Step 5: Solve for x
    x = 114,670,965.52/12,378.25
  6. Step 6: Final answer
    x = 9,263.91

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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.