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Finding the Fourth Proportional to 8,428.97, 11,631.84 and 4,652.51

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Solution

The fourth proportional to 8,428.97, 11,631.84 and 4,652.51 is: 6,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.97 : 11,631.84 = 4,652.51 : x
  2. Step 2: Convert to fraction form
    8,428.97/11,631.84 = 4,652.51/x
  3. Step 3: Cross multiply
    8,428.97x = 11,631.84 × 4,652.51
  4. Step 4: Simplify right side
    8,428.97x = 54,117,193.76
  5. Step 5: Solve for x
    x = 54,117,193.76/8,428.97
  6. Step 6: Final answer
    x = 6,420.38

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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.