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Finding the Fourth Proportional to 7,357.60, 10,153.43 and 4,213.78

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Solution

The fourth proportional to 7,357.60, 10,153.43 and 4,213.78 is: 5,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.60 : 10,153.43 = 4,213.78 : x
  2. Step 2: Convert to fraction form
    7,357.60/10,153.43 = 4,213.78/x
  3. Step 3: Cross multiply
    7,357.60x = 10,153.43 × 4,213.78
  4. Step 4: Simplify right side
    7,357.60x = 42,784,320.27
  5. Step 5: Solve for x
    x = 42,784,320.27/7,357.60
  6. Step 6: Final answer
    x = 5,814.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.