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Finding the Fourth Proportional to 10,141.68, 15,213.30 and 3,569.34

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Solution

The fourth proportional to 10,141.68, 15,213.30 and 3,569.34 is: 5,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.68 : 15,213.30 = 3,569.34 : x
  2. Step 2: Convert to fraction form
    10,141.68/15,213.30 = 3,569.34/x
  3. Step 3: Cross multiply
    10,141.68x = 15,213.30 × 3,569.34
  4. Step 4: Simplify right side
    10,141.68x = 54,301,440.22
  5. Step 5: Solve for x
    x = 54,301,440.22/10,141.68
  6. Step 6: Final answer
    x = 5,354.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.