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Finding the Fourth Proportional to 10,471.80, 14,451 and 5,756.32

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Solution

The fourth proportional to 10,471.80, 14,451 and 5,756.32 is: 7,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.80 : 14,451 = 5,756.32 : x
  2. Step 2: Convert to fraction form
    10,471.80/14,451 = 5,756.32/x
  3. Step 3: Cross multiply
    10,471.80x = 14,451 × 5,756.32
  4. Step 4: Simplify right side
    10,471.80x = 83,184,580.32
  5. Step 5: Solve for x
    x = 83,184,580.32/10,471.80
  6. Step 6: Final answer
    x = 7,943.68

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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.