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Finding the Fourth Proportional to 10,141, 15,213.42 and 4,669

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Solution

The fourth proportional to 10,141, 15,213.42 and 4,669 is: 7,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141 : 15,213.42 = 4,669 : x
  2. Step 2: Convert to fraction form
    10,141/15,213.42 = 4,669/x
  3. Step 3: Cross multiply
    10,141x = 15,213.42 × 4,669
  4. Step 4: Simplify right side
    10,141x = 71,031,457.98
  5. Step 5: Solve for x
    x = 71,031,457.98/10,141
  6. Step 6: Final answer
    x = 7,004.38

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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.