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Finding the Fourth Proportional to 10,376.72, 14,319.92 and 5,661.10

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Solution

The fourth proportional to 10,376.72, 14,319.92 and 5,661.10 is: 7,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.72 : 14,319.92 = 5,661.10 : x
  2. Step 2: Convert to fraction form
    10,376.72/14,319.92 = 5,661.10/x
  3. Step 3: Cross multiply
    10,376.72x = 14,319.92 × 5,661.10
  4. Step 4: Simplify right side
    10,376.72x = 81,066,435.01
  5. Step 5: Solve for x
    x = 81,066,435.01/10,376.72
  6. Step 6: Final answer
    x = 7,812.34

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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.