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Finding the Fourth Proportional to 10,923.42, 16,371.42 and 4,676.10

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Solution

The fourth proportional to 10,923.42, 16,371.42 and 4,676.10 is: 7,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.42 : 16,371.42 = 4,676.10 : x
  2. Step 2: Convert to fraction form
    10,923.42/16,371.42 = 4,676.10/x
  3. Step 3: Cross multiply
    10,923.42x = 16,371.42 × 4,676.10
  4. Step 4: Simplify right side
    10,923.42x = 76,554,397.06
  5. Step 5: Solve for x
    x = 76,554,397.06/10,923.42
  6. Step 6: Final answer
    x = 7,008.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.