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Finding the Fourth Proportional to 8,254.08, 11,394 and 6,154.56

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Solution

The fourth proportional to 8,254.08, 11,394 and 6,154.56 is: 8,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.08 : 11,394 = 6,154.56 : x
  2. Step 2: Convert to fraction form
    8,254.08/11,394 = 6,154.56/x
  3. Step 3: Cross multiply
    8,254.08x = 11,394 × 6,154.56
  4. Step 4: Simplify right side
    8,254.08x = 70,125,056.64
  5. Step 5: Solve for x
    x = 70,125,056.64/8,254.08
  6. Step 6: Final answer
    x = 8,495.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.