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Finding the Fourth Proportional to 8,476, 11,696.88 and 5,164

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Solution

The fourth proportional to 8,476, 11,696.88 and 5,164 is: 7,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476 : 11,696.88 = 5,164 : x
  2. Step 2: Convert to fraction form
    8,476/11,696.88 = 5,164/x
  3. Step 3: Cross multiply
    8,476x = 11,696.88 × 5,164
  4. Step 4: Simplify right side
    8,476x = 60,402,688.32
  5. Step 5: Solve for x
    x = 60,402,688.32/8,476
  6. Step 6: Final answer
    x = 7,126.32

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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.