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Finding the Fourth Proportional to 8,428.54, 11,631.38 and 4,702.54

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Solution

The fourth proportional to 8,428.54, 11,631.38 and 4,702.54 is: 6,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.54 : 11,631.38 = 4,702.54 : x
  2. Step 2: Convert to fraction form
    8,428.54/11,631.38 = 4,702.54/x
  3. Step 3: Cross multiply
    8,428.54x = 11,631.38 × 4,702.54
  4. Step 4: Simplify right side
    8,428.54x = 54,696,948.04
  5. Step 5: Solve for x
    x = 54,696,948.04/8,428.54
  6. Step 6: Final answer
    x = 6,489.50

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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.