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Finding the Fourth Proportional to 10,157.10, 14,014.92 and 5,680.88

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Solution

The fourth proportional to 10,157.10, 14,014.92 and 5,680.88 is: 7,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.10 : 14,014.92 = 5,680.88 : x
  2. Step 2: Convert to fraction form
    10,157.10/14,014.92 = 5,680.88/x
  3. Step 3: Cross multiply
    10,157.10x = 14,014.92 × 5,680.88
  4. Step 4: Simplify right side
    10,157.10x = 79,617,161.35
  5. Step 5: Solve for x
    x = 79,617,161.35/10,157.10
  6. Step 6: Final answer
    x = 7,838.58

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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.