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Finding the Fourth Proportional to 11,410.88, 15,738.32 and 9,820.17

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Solution

The fourth proportional to 11,410.88, 15,738.32 and 9,820.17 is: 13,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.88 : 15,738.32 = 9,820.17 : x
  2. Step 2: Convert to fraction form
    11,410.88/15,738.32 = 9,820.17/x
  3. Step 3: Cross multiply
    11,410.88x = 15,738.32 × 9,820.17
  4. Step 4: Simplify right side
    11,410.88x = 154,552,928.81
  5. Step 5: Solve for x
    x = 154,552,928.81/11,410.88
  6. Step 6: Final answer
    x = 13,544.35

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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.