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Finding the Fourth Proportional to 10,151.71, 14,011.08 and 5,905.23

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Solution

The fourth proportional to 10,151.71, 14,011.08 and 5,905.23 is: 8,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.71 : 14,011.08 = 5,905.23 : x
  2. Step 2: Convert to fraction form
    10,151.71/14,011.08 = 5,905.23/x
  3. Step 3: Cross multiply
    10,151.71x = 14,011.08 × 5,905.23
  4. Step 4: Simplify right side
    10,151.71x = 82,738,638.10
  5. Step 5: Solve for x
    x = 82,738,638.10/10,151.71
  6. Step 6: Final answer
    x = 8,150.22

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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.