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Finding the Fourth Proportional to 10,102.59, 13,941.05 and 5,626.26

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Solution

The fourth proportional to 10,102.59, 13,941.05 and 5,626.26 is: 7,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.59 : 13,941.05 = 5,626.26 : x
  2. Step 2: Convert to fraction form
    10,102.59/13,941.05 = 5,626.26/x
  3. Step 3: Cross multiply
    10,102.59x = 13,941.05 × 5,626.26
  4. Step 4: Simplify right side
    10,102.59x = 78,435,943.84
  5. Step 5: Solve for x
    x = 78,435,943.84/10,102.59
  6. Step 6: Final answer
    x = 7,763.94

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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.