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Finding the Fourth Proportional to 8,702.56, 13,053.84 and 2,546.56

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Solution

The fourth proportional to 8,702.56, 13,053.84 and 2,546.56 is: 3,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.56 : 13,053.84 = 2,546.56 : x
  2. Step 2: Convert to fraction form
    8,702.56/13,053.84 = 2,546.56/x
  3. Step 3: Cross multiply
    8,702.56x = 13,053.84 × 2,546.56
  4. Step 4: Simplify right side
    8,702.56x = 33,242,386.79
  5. Step 5: Solve for x
    x = 33,242,386.79/8,702.56
  6. Step 6: Final answer
    x = 3,819.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.