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Finding the Fourth Proportional to 7,435.33, 10,260.76 and 4,078.16

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Solution

The fourth proportional to 7,435.33, 10,260.76 and 4,078.16 is: 5,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.33 : 10,260.76 = 4,078.16 : x
  2. Step 2: Convert to fraction form
    7,435.33/10,260.76 = 4,078.16/x
  3. Step 3: Cross multiply
    7,435.33x = 10,260.76 × 4,078.16
  4. Step 4: Simplify right side
    7,435.33x = 41,845,021.00
  5. Step 5: Solve for x
    x = 41,845,021.00/7,435.33
  6. Step 6: Final answer
    x = 5,627.87

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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.