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Finding the Fourth Proportional to 11,376, 15,701.76 and 6,410.88

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Solution

The fourth proportional to 11,376, 15,701.76 and 6,410.88 is: 8,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376 : 15,701.76 = 6,410.88 : x
  2. Step 2: Convert to fraction form
    11,376/15,701.76 = 6,410.88/x
  3. Step 3: Cross multiply
    11,376x = 15,701.76 × 6,410.88
  4. Step 4: Simplify right side
    11,376x = 100,662,099.15
  5. Step 5: Solve for x
    x = 100,662,099.15/11,376
  6. Step 6: Final answer
    x = 8,848.64

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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.