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Finding the Fourth Proportional to 7,074.90, 10,607.46 and 4,115.16

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Solution

The fourth proportional to 7,074.90, 10,607.46 and 4,115.16 is: 6,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.90 : 10,607.46 = 4,115.16 : x
  2. Step 2: Convert to fraction form
    7,074.90/10,607.46 = 4,115.16/x
  3. Step 3: Cross multiply
    7,074.90x = 10,607.46 × 4,115.16
  4. Step 4: Simplify right side
    7,074.90x = 43,651,395.09
  5. Step 5: Solve for x
    x = 43,651,395.09/7,074.90
  6. Step 6: Final answer
    x = 6,169.90

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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.