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Finding the Fourth Proportional to 7,029.64, 10,546.28 and 2,648.40

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Solution

The fourth proportional to 7,029.64, 10,546.28 and 2,648.40 is: 3,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.64 : 10,546.28 = 2,648.40 : x
  2. Step 2: Convert to fraction form
    7,029.64/10,546.28 = 2,648.40/x
  3. Step 3: Cross multiply
    7,029.64x = 10,546.28 × 2,648.40
  4. Step 4: Simplify right side
    7,029.64x = 27,930,767.95
  5. Step 5: Solve for x
    x = 27,930,767.95/7,029.64
  6. Step 6: Final answer
    x = 3,973.29

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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.