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Finding the Fourth Proportional to 8,308.51, 11,461.34 and 5,122.49

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Solution

The fourth proportional to 8,308.51, 11,461.34 and 5,122.49 is: 7,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.51 : 11,461.34 = 5,122.49 : x
  2. Step 2: Convert to fraction form
    8,308.51/11,461.34 = 5,122.49/x
  3. Step 3: Cross multiply
    8,308.51x = 11,461.34 × 5,122.49
  4. Step 4: Simplify right side
    8,308.51x = 58,710,555.04
  5. Step 5: Solve for x
    x = 58,710,555.04/8,308.51
  6. Step 6: Final answer
    x = 7,066.32

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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.