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Finding the Fourth Proportional to 10,176.63, 14,049.63 and 7,767.69

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Solution

The fourth proportional to 10,176.63, 14,049.63 and 7,767.69 is: 10,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.63 : 14,049.63 = 7,767.69 : x
  2. Step 2: Convert to fraction form
    10,176.63/14,049.63 = 7,767.69/x
  3. Step 3: Cross multiply
    10,176.63x = 14,049.63 × 7,767.69
  4. Step 4: Simplify right side
    10,176.63x = 109,133,170.45
  5. Step 5: Solve for x
    x = 109,133,170.45/10,176.63
  6. Step 6: Final answer
    x = 10,723.90

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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.