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Finding the Fourth Proportional to 7,558.64, 10,430.94 and 4,201.67

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Solution

The fourth proportional to 7,558.64, 10,430.94 and 4,201.67 is: 5,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.64 : 10,430.94 = 4,201.67 : x
  2. Step 2: Convert to fraction form
    7,558.64/10,430.94 = 4,201.67/x
  3. Step 3: Cross multiply
    7,558.64x = 10,430.94 × 4,201.67
  4. Step 4: Simplify right side
    7,558.64x = 43,827,315.52
  5. Step 5: Solve for x
    x = 43,827,315.52/7,558.64
  6. Step 6: Final answer
    x = 5,798.31

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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.