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Finding the Fourth Proportional to 7,558.22, 10,430.10 and 4,200.94

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Solution

The fourth proportional to 7,558.22, 10,430.10 and 4,200.94 is: 5,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.22 : 10,430.10 = 4,200.94 : x
  2. Step 2: Convert to fraction form
    7,558.22/10,430.10 = 4,200.94/x
  3. Step 3: Cross multiply
    7,558.22x = 10,430.10 × 4,200.94
  4. Step 4: Simplify right side
    7,558.22x = 43,816,224.29
  5. Step 5: Solve for x
    x = 43,816,224.29/7,558.22
  6. Step 6: Final answer
    x = 5,797.16

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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.