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Finding the Fourth Proportional to 10,371, 14,311.50 and 5,655.24

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Solution

The fourth proportional to 10,371, 14,311.50 and 5,655.24 is: 7,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371 : 14,311.50 = 5,655.24 : x
  2. Step 2: Convert to fraction form
    10,371/14,311.50 = 5,655.24/x
  3. Step 3: Cross multiply
    10,371x = 14,311.50 × 5,655.24
  4. Step 4: Simplify right side
    10,371x = 80,934,967.26
  5. Step 5: Solve for x
    x = 80,934,967.26/10,371
  6. Step 6: Final answer
    x = 7,803.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.