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Finding the Fourth Proportional to 10,501.99, 14,492.70 and 5,722.21

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Solution

The fourth proportional to 10,501.99, 14,492.70 and 5,722.21 is: 7,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.99 : 14,492.70 = 5,722.21 : x
  2. Step 2: Convert to fraction form
    10,501.99/14,492.70 = 5,722.21/x
  3. Step 3: Cross multiply
    10,501.99x = 14,492.70 × 5,722.21
  4. Step 4: Simplify right side
    10,501.99x = 82,930,272.87
  5. Step 5: Solve for x
    x = 82,930,272.87/10,501.99
  6. Step 6: Final answer
    x = 7,896.62

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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.