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Finding the Fourth Proportional to 10,715.60, 16,084.20 and 5,173.40

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Solution

The fourth proportional to 10,715.60, 16,084.20 and 5,173.40 is: 7,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.60 : 16,084.20 = 5,173.40 : x
  2. Step 2: Convert to fraction form
    10,715.60/16,084.20 = 5,173.40/x
  3. Step 3: Cross multiply
    10,715.60x = 16,084.20 × 5,173.40
  4. Step 4: Simplify right side
    10,715.60x = 83,210,000.28
  5. Step 5: Solve for x
    x = 83,210,000.28/10,715.60
  6. Step 6: Final answer
    x = 7,765.31

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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.