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Finding the Fourth Proportional to 7,153.09, 10,732.59 and 3,148.42

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Solution

The fourth proportional to 7,153.09, 10,732.59 and 3,148.42 is: 4,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.09 : 10,732.59 = 3,148.42 : x
  2. Step 2: Convert to fraction form
    7,153.09/10,732.59 = 3,148.42/x
  3. Step 3: Cross multiply
    7,153.09x = 10,732.59 × 3,148.42
  4. Step 4: Simplify right side
    7,153.09x = 33,790,701.01
  5. Step 5: Solve for x
    x = 33,790,701.01/7,153.09
  6. Step 6: Final answer
    x = 4,723.93

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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.