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Finding the Fourth Proportional to 12,503.88, 17,255.25 and 6,838.74

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Solution

The fourth proportional to 12,503.88, 17,255.25 and 6,838.74 is: 9,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.88 : 17,255.25 = 6,838.74 : x
  2. Step 2: Convert to fraction form
    12,503.88/17,255.25 = 6,838.74/x
  3. Step 3: Cross multiply
    12,503.88x = 17,255.25 × 6,838.74
  4. Step 4: Simplify right side
    12,503.88x = 118,004,168.39
  5. Step 5: Solve for x
    x = 118,004,168.39/12,503.88
  6. Step 6: Final answer
    x = 9,437.40

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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.