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Finding the Fourth Proportional to 8,140.49, 11,228.54 and 6,459.23

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Solution

The fourth proportional to 8,140.49, 11,228.54 and 6,459.23 is: 8,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.49 : 11,228.54 = 6,459.23 : x
  2. Step 2: Convert to fraction form
    8,140.49/11,228.54 = 6,459.23/x
  3. Step 3: Cross multiply
    8,140.49x = 11,228.54 × 6,459.23
  4. Step 4: Simplify right side
    8,140.49x = 72,527,766.64
  5. Step 5: Solve for x
    x = 72,527,766.64/8,140.49
  6. Step 6: Final answer
    x = 8,909.51

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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.