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Finding the Fourth Proportional to 8,476.36, 11,696.98 and 4,699.28

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Solution

The fourth proportional to 8,476.36, 11,696.98 and 4,699.28 is: 6,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.36 : 11,696.98 = 4,699.28 : x
  2. Step 2: Convert to fraction form
    8,476.36/11,696.98 = 4,699.28/x
  3. Step 3: Cross multiply
    8,476.36x = 11,696.98 × 4,699.28
  4. Step 4: Simplify right side
    8,476.36x = 54,967,384.17
  5. Step 5: Solve for x
    x = 54,967,384.17/8,476.36
  6. Step 6: Final answer
    x = 6,484.79

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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.