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Finding the Fourth Proportional to 7,359.56, 10,157.64 and 4,217.84

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Solution

The fourth proportional to 7,359.56, 10,157.64 and 4,217.84 is: 5,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359.56 : 10,157.64 = 4,217.84 : x
  2. Step 2: Convert to fraction form
    7,359.56/10,157.64 = 4,217.84/x
  3. Step 3: Cross multiply
    7,359.56x = 10,157.64 × 4,217.84
  4. Step 4: Simplify right side
    7,359.56x = 42,843,300.30
  5. Step 5: Solve for x
    x = 42,843,300.30/7,359.56
  6. Step 6: Final answer
    x = 5,821.45

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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.