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Finding the Fourth Proportional to 10,730.44, 14,801.70 and 6,252.04

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Solution

The fourth proportional to 10,730.44, 14,801.70 and 6,252.04 is: 8,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.44 : 14,801.70 = 6,252.04 : x
  2. Step 2: Convert to fraction form
    10,730.44/14,801.70 = 6,252.04/x
  3. Step 3: Cross multiply
    10,730.44x = 14,801.70 × 6,252.04
  4. Step 4: Simplify right side
    10,730.44x = 92,540,820.47
  5. Step 5: Solve for x
    x = 92,540,820.47/10,730.44
  6. Step 6: Final answer
    x = 8,624.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.