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Finding the Fourth Proportional to 12,810.52, 17,678.60 and 7,145.62

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Solution

The fourth proportional to 12,810.52, 17,678.60 and 7,145.62 is: 9,861.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.52 : 17,678.60 = 7,145.62 : x
  2. Step 2: Convert to fraction form
    12,810.52/17,678.60 = 7,145.62/x
  3. Step 3: Cross multiply
    12,810.52x = 17,678.60 × 7,145.62
  4. Step 4: Simplify right side
    12,810.52x = 126,324,557.73
  5. Step 5: Solve for x
    x = 126,324,557.73/12,810.52
  6. Step 6: Final answer
    x = 9,861.00

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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.