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Finding the Fourth Proportional to 8,484.49, 11,708.60 and 4,948.38

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Solution

The fourth proportional to 8,484.49, 11,708.60 and 4,948.38 is: 6,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.49 : 11,708.60 = 4,948.38 : x
  2. Step 2: Convert to fraction form
    8,484.49/11,708.60 = 4,948.38/x
  3. Step 3: Cross multiply
    8,484.49x = 11,708.60 × 4,948.38
  4. Step 4: Simplify right side
    8,484.49x = 57,938,614.44
  5. Step 5: Solve for x
    x = 57,938,614.44/8,484.49
  6. Step 6: Final answer
    x = 6,828.77

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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.