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Finding the Fourth Proportional to 10,113.84, 13,955.04 and 5,921.28

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Solution

The fourth proportional to 10,113.84, 13,955.04 and 5,921.28 is: 8,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.84 : 13,955.04 = 5,921.28 : x
  2. Step 2: Convert to fraction form
    10,113.84/13,955.04 = 5,921.28/x
  3. Step 3: Cross multiply
    10,113.84x = 13,955.04 × 5,921.28
  4. Step 4: Simplify right side
    10,113.84x = 82,631,699.25
  5. Step 5: Solve for x
    x = 82,631,699.25/10,113.84
  6. Step 6: Final answer
    x = 8,170.16

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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.