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Finding the Fourth Proportional to 10,471.88, 14,451 and 5,756.06

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Solution

The fourth proportional to 10,471.88, 14,451 and 5,756.06 is: 7,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.88 : 14,451 = 5,756.06 : x
  2. Step 2: Convert to fraction form
    10,471.88/14,451 = 5,756.06/x
  3. Step 3: Cross multiply
    10,471.88x = 14,451 × 5,756.06
  4. Step 4: Simplify right side
    10,471.88x = 83,180,823.06
  5. Step 5: Solve for x
    x = 83,180,823.06/10,471.88
  6. Step 6: Final answer
    x = 7,943.26

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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.