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Finding the Fourth Proportional to 7,558.79, 10,430.94 and 4,201.57

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Solution

The fourth proportional to 7,558.79, 10,430.94 and 4,201.57 is: 5,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.79 : 10,430.94 = 4,201.57 : x
  2. Step 2: Convert to fraction form
    7,558.79/10,430.94 = 4,201.57/x
  3. Step 3: Cross multiply
    7,558.79x = 10,430.94 × 4,201.57
  4. Step 4: Simplify right side
    7,558.79x = 43,826,272.42
  5. Step 5: Solve for x
    x = 43,826,272.42/7,558.79
  6. Step 6: Final answer
    x = 5,798.06

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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.