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Finding the Fourth Proportional to 6,875.94, 10,312.24 and 3,174.61

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Solution

The fourth proportional to 6,875.94, 10,312.24 and 3,174.61 is: 4,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.94 : 10,312.24 = 3,174.61 : x
  2. Step 2: Convert to fraction form
    6,875.94/10,312.24 = 3,174.61/x
  3. Step 3: Cross multiply
    6,875.94x = 10,312.24 × 3,174.61
  4. Step 4: Simplify right side
    6,875.94x = 32,737,322.38
  5. Step 5: Solve for x
    x = 32,737,322.38/6,875.94
  6. Step 6: Final answer
    x = 4,761.14

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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.