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Finding the Fourth Proportional to 10,730.80, 16,096.20 and 7,620.40

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Solution

The fourth proportional to 10,730.80, 16,096.20 and 7,620.40 is: 11,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.80 : 16,096.20 = 7,620.40 : x
  2. Step 2: Convert to fraction form
    10,730.80/16,096.20 = 7,620.40/x
  3. Step 3: Cross multiply
    10,730.80x = 16,096.20 × 7,620.40
  4. Step 4: Simplify right side
    10,730.80x = 122,659,482.48
  5. Step 5: Solve for x
    x = 122,659,482.48/10,730.80
  6. Step 6: Final answer
    x = 11,430.60

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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.