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Finding the Fourth Proportional to 10,730.53, 14,801.59 and 7,096.57

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Solution

The fourth proportional to 10,730.53, 14,801.59 and 7,096.57 is: 9,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.53 : 14,801.59 = 7,096.57 : x
  2. Step 2: Convert to fraction form
    10,730.53/14,801.59 = 7,096.57/x
  3. Step 3: Cross multiply
    10,730.53x = 14,801.59 × 7,096.57
  4. Step 4: Simplify right side
    10,730.53x = 105,040,464.80
  5. Step 5: Solve for x
    x = 105,040,464.80/10,730.53
  6. Step 6: Final answer
    x = 9,788.94

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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.