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Finding the Fourth Proportional to 7,430.96, 10,255.20 and 4,287.12

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Solution

The fourth proportional to 7,430.96, 10,255.20 and 4,287.12 is: 5,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.96 : 10,255.20 = 4,287.12 : x
  2. Step 2: Convert to fraction form
    7,430.96/10,255.20 = 4,287.12/x
  3. Step 3: Cross multiply
    7,430.96x = 10,255.20 × 4,287.12
  4. Step 4: Simplify right side
    7,430.96x = 43,965,273.02
  5. Step 5: Solve for x
    x = 43,965,273.02/7,430.96
  6. Step 6: Final answer
    x = 5,916.50

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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.