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Finding the Fourth Proportional to 10,730.40, 14,801.41 and 7,096.44

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Solution

The fourth proportional to 10,730.40, 14,801.41 and 7,096.44 is: 9,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.40 : 14,801.41 = 7,096.44 : x
  2. Step 2: Convert to fraction form
    10,730.40/14,801.41 = 7,096.44/x
  3. Step 3: Cross multiply
    10,730.40x = 14,801.41 × 7,096.44
  4. Step 4: Simplify right side
    10,730.40x = 105,037,317.98
  5. Step 5: Solve for x
    x = 105,037,317.98/10,730.40
  6. Step 6: Final answer
    x = 9,788.76

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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.