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Finding the Fourth Proportional to 7,906.34, 11,875.90 and 6,274.38

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Solution

The fourth proportional to 7,906.34, 11,875.90 and 6,274.38 is: 9,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.34 : 11,875.90 = 6,274.38 : x
  2. Step 2: Convert to fraction form
    7,906.34/11,875.90 = 6,274.38/x
  3. Step 3: Cross multiply
    7,906.34x = 11,875.90 × 6,274.38
  4. Step 4: Simplify right side
    7,906.34x = 74,513,909.44
  5. Step 5: Solve for x
    x = 74,513,909.44/7,906.34
  6. Step 6: Final answer
    x = 9,424.58

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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.