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Finding the Fourth Proportional to 12,968, 17,894.77 and 7,300.94

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Solution

The fourth proportional to 12,968, 17,894.77 and 7,300.94 is: 10,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968 : 17,894.77 = 7,300.94 : x
  2. Step 2: Convert to fraction form
    12,968/17,894.77 = 7,300.94/x
  3. Step 3: Cross multiply
    12,968x = 17,894.77 × 7,300.94
  4. Step 4: Simplify right side
    12,968x = 130,648,642.08
  5. Step 5: Solve for x
    x = 130,648,642.08/12,968
  6. Step 6: Final answer
    x = 10,074.69

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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.