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Finding the Fourth Proportional to 8,376, 11,561.76 and 5,064

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Solution

The fourth proportional to 8,376, 11,561.76 and 5,064 is: 6,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376 : 11,561.76 = 5,064 : x
  2. Step 2: Convert to fraction form
    8,376/11,561.76 = 5,064/x
  3. Step 3: Cross multiply
    8,376x = 11,561.76 × 5,064
  4. Step 4: Simplify right side
    8,376x = 58,548,752.64
  5. Step 5: Solve for x
    x = 58,548,752.64/8,376
  6. Step 6: Final answer
    x = 6,990.06

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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.