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Finding the Fourth Proportional to 7,153.40, 10,734.16 and 2,771.16

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Solution

The fourth proportional to 7,153.40, 10,734.16 and 2,771.16 is: 4,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.40 : 10,734.16 = 2,771.16 : x
  2. Step 2: Convert to fraction form
    7,153.40/10,734.16 = 2,771.16/x
  3. Step 3: Cross multiply
    7,153.40x = 10,734.16 × 2,771.16
  4. Step 4: Simplify right side
    7,153.40x = 29,746,074.83
  5. Step 5: Solve for x
    x = 29,746,074.83/7,153.40
  6. Step 6: Final answer
    x = 4,158.31

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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.