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Finding the Fourth Proportional to 8,313.67, 12,456.80 and 7,456.28

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Solution

The fourth proportional to 8,313.67, 12,456.80 and 7,456.28 is: 11,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.67 : 12,456.80 = 7,456.28 : x
  2. Step 2: Convert to fraction form
    8,313.67/12,456.80 = 7,456.28/x
  3. Step 3: Cross multiply
    8,313.67x = 12,456.80 × 7,456.28
  4. Step 4: Simplify right side
    8,313.67x = 92,881,351.42
  5. Step 5: Solve for x
    x = 92,881,351.42/8,313.67
  6. Step 6: Final answer
    x = 11,172.13

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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.