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Finding the Fourth Proportional to 7,108.56, 10,678.32 and 6,875.28

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Solution

The fourth proportional to 7,108.56, 10,678.32 and 6,875.28 is: 10,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.56 : 10,678.32 = 6,875.28 : x
  2. Step 2: Convert to fraction form
    7,108.56/10,678.32 = 6,875.28/x
  3. Step 3: Cross multiply
    7,108.56x = 10,678.32 × 6,875.28
  4. Step 4: Simplify right side
    7,108.56x = 73,416,439.93
  5. Step 5: Solve for x
    x = 73,416,439.93/7,108.56
  6. Step 6: Final answer
    x = 10,327.89

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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.