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Finding the Fourth Proportional to 10,471.86, 14,451.93 and 5,756.22

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Solution

The fourth proportional to 10,471.86, 14,451.93 and 5,756.22 is: 7,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.86 : 14,451.93 = 5,756.22 : x
  2. Step 2: Convert to fraction form
    10,471.86/14,451.93 = 5,756.22/x
  3. Step 3: Cross multiply
    10,471.86x = 14,451.93 × 5,756.22
  4. Step 4: Simplify right side
    10,471.86x = 83,188,488.50
  5. Step 5: Solve for x
    x = 83,188,488.50/10,471.86
  6. Step 6: Final answer
    x = 7,944.00

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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.