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Finding the Fourth Proportional to 10,802.16, 16,179.48 and 8,318.70

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Solution

The fourth proportional to 10,802.16, 16,179.48 and 8,318.70 is: 12,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.16 : 16,179.48 = 8,318.70 : x
  2. Step 2: Convert to fraction form
    10,802.16/16,179.48 = 8,318.70/x
  3. Step 3: Cross multiply
    10,802.16x = 16,179.48 × 8,318.70
  4. Step 4: Simplify right side
    10,802.16x = 134,592,240.28
  5. Step 5: Solve for x
    x = 134,592,240.28/10,802.16
  6. Step 6: Final answer
    x = 12,459.75

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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.