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Finding the Fourth Proportional to 7,435.06, 10,259.94 and 4,077.19

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Solution

The fourth proportional to 7,435.06, 10,259.94 and 4,077.19 is: 5,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.06 : 10,259.94 = 4,077.19 : x
  2. Step 2: Convert to fraction form
    7,435.06/10,259.94 = 4,077.19/x
  3. Step 3: Cross multiply
    7,435.06x = 10,259.94 × 4,077.19
  4. Step 4: Simplify right side
    7,435.06x = 41,831,724.77
  5. Step 5: Solve for x
    x = 41,831,724.77/7,435.06
  6. Step 6: Final answer
    x = 5,626.28

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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.