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Finding the Fourth Proportional to 10,471.42, 14,450.61 and 5,756.01

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Solution

The fourth proportional to 10,471.42, 14,450.61 and 5,756.01 is: 7,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.42 : 14,450.61 = 5,756.01 : x
  2. Step 2: Convert to fraction form
    10,471.42/14,450.61 = 5,756.01/x
  3. Step 3: Cross multiply
    10,471.42x = 14,450.61 × 5,756.01
  4. Step 4: Simplify right side
    10,471.42x = 83,177,823.06
  5. Step 5: Solve for x
    x = 83,177,823.06/10,471.42
  6. Step 6: Final answer
    x = 7,943.32

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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.