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Finding the Fourth Proportional to 10,381.10, 14,325.93 and 5,665.41

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Solution

The fourth proportional to 10,381.10, 14,325.93 and 5,665.41 is: 7,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.10 : 14,325.93 = 5,665.41 : x
  2. Step 2: Convert to fraction form
    10,381.10/14,325.93 = 5,665.41/x
  3. Step 3: Cross multiply
    10,381.10x = 14,325.93 × 5,665.41
  4. Step 4: Simplify right side
    10,381.10x = 81,162,267.08
  5. Step 5: Solve for x
    x = 81,162,267.08/10,381.10
  6. Step 6: Final answer
    x = 7,818.28

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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.