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Finding the Fourth Proportional to 7,435.31, 10,259.12 and 4,289.68

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Solution

The fourth proportional to 7,435.31, 10,259.12 and 4,289.68 is: 5,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.31 : 10,259.12 = 4,289.68 : x
  2. Step 2: Convert to fraction form
    7,435.31/10,259.12 = 4,289.68/x
  3. Step 3: Cross multiply
    7,435.31x = 10,259.12 × 4,289.68
  4. Step 4: Simplify right side
    7,435.31x = 44,008,326.96
  5. Step 5: Solve for x
    x = 44,008,326.96/7,435.31
  6. Step 6: Final answer
    x = 5,918.83

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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.