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Finding the Fourth Proportional to 7,617.42, 11,429.53 and 4,843.35

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Solution

The fourth proportional to 7,617.42, 11,429.53 and 4,843.35 is: 7,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.42 : 11,429.53 = 4,843.35 : x
  2. Step 2: Convert to fraction form
    7,617.42/11,429.53 = 4,843.35/x
  3. Step 3: Cross multiply
    7,617.42x = 11,429.53 × 4,843.35
  4. Step 4: Simplify right side
    7,617.42x = 55,357,202.02
  5. Step 5: Solve for x
    x = 55,357,202.02/7,617.42
  6. Step 6: Final answer
    x = 7,267.19

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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.