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Finding the Fourth Proportional to 8,301.51, 11,455.63 and 4,716.38

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Solution

The fourth proportional to 8,301.51, 11,455.63 and 4,716.38 is: 6,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.51 : 11,455.63 = 4,716.38 : x
  2. Step 2: Convert to fraction form
    8,301.51/11,455.63 = 4,716.38/x
  3. Step 3: Cross multiply
    8,301.51x = 11,455.63 × 4,716.38
  4. Step 4: Simplify right side
    8,301.51x = 54,029,121.07
  5. Step 5: Solve for x
    x = 54,029,121.07/8,301.51
  6. Step 6: Final answer
    x = 6,508.35

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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.