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Finding the Fourth Proportional to 10,967.40, 16,364.97 and 10,297.94

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Solution

The fourth proportional to 10,967.40, 16,364.97 and 10,297.94 is: 15,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.40 : 16,364.97 = 10,297.94 : x
  2. Step 2: Convert to fraction form
    10,967.40/16,364.97 = 10,297.94/x
  3. Step 3: Cross multiply
    10,967.40x = 16,364.97 × 10,297.94
  4. Step 4: Simplify right side
    10,967.40x = 168,525,397.34
  5. Step 5: Solve for x
    x = 168,525,397.34/10,967.40
  6. Step 6: Final answer
    x = 15,366.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.