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Finding the Fourth Proportional to 10,015.17, 13,813.42 and 8,430.29

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Solution

The fourth proportional to 10,015.17, 13,813.42 and 8,430.29 is: 11,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.17 : 13,813.42 = 8,430.29 : x
  2. Step 2: Convert to fraction form
    10,015.17/13,813.42 = 8,430.29/x
  3. Step 3: Cross multiply
    10,015.17x = 13,813.42 × 8,430.29
  4. Step 4: Simplify right side
    10,015.17x = 116,451,113.96
  5. Step 5: Solve for x
    x = 116,451,113.96/10,015.17
  6. Step 6: Final answer
    x = 11,627.47

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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.