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Finding the Fourth Proportional to 8,459.97, 11,674.15 and 5,056.95

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Solution

The fourth proportional to 8,459.97, 11,674.15 and 5,056.95 is: 6,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.97 : 11,674.15 = 5,056.95 : x
  2. Step 2: Convert to fraction form
    8,459.97/11,674.15 = 5,056.95/x
  3. Step 3: Cross multiply
    8,459.97x = 11,674.15 × 5,056.95
  4. Step 4: Simplify right side
    8,459.97x = 59,035,592.84
  5. Step 5: Solve for x
    x = 59,035,592.84/8,459.97
  6. Step 6: Final answer
    x = 6,978.23

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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.