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Finding the Fourth Proportional to 14,052.60, 19,393.86 and 7,767

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Solution

The fourth proportional to 14,052.60, 19,393.86 and 7,767 is: 10,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.60 : 19,393.86 = 7,767 : x
  2. Step 2: Convert to fraction form
    14,052.60/19,393.86 = 7,767/x
  3. Step 3: Cross multiply
    14,052.60x = 19,393.86 × 7,767
  4. Step 4: Simplify right side
    14,052.60x = 150,632,110.62
  5. Step 5: Solve for x
    x = 150,632,110.62/14,052.60
  6. Step 6: Final answer
    x = 10,719.16

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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.