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Finding the Fourth Proportional to 8,362.78, 12,527.16 and 6,710.38

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Solution

The fourth proportional to 8,362.78, 12,527.16 and 6,710.38 is: 10,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.78 : 12,527.16 = 6,710.38 : x
  2. Step 2: Convert to fraction form
    8,362.78/12,527.16 = 6,710.38/x
  3. Step 3: Cross multiply
    8,362.78x = 12,527.16 × 6,710.38
  4. Step 4: Simplify right side
    8,362.78x = 84,062,003.92
  5. Step 5: Solve for x
    x = 84,062,003.92/8,362.78
  6. Step 6: Final answer
    x = 10,051.92

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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.