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Finding the Fourth Proportional to 10,487, 15,723.20 and 3,911.42

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Solution

The fourth proportional to 10,487, 15,723.20 and 3,911.42 is: 5,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487 : 15,723.20 = 3,911.42 : x
  2. Step 2: Convert to fraction form
    10,487/15,723.20 = 3,911.42/x
  3. Step 3: Cross multiply
    10,487x = 15,723.20 × 3,911.42
  4. Step 4: Simplify right side
    10,487x = 61,500,038.94
  5. Step 5: Solve for x
    x = 61,500,038.94/10,487
  6. Step 6: Final answer
    x = 5,864.41

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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.