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Finding the Fourth Proportional to 10,543.84, 14,551.32 and 5,828.56

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Solution

The fourth proportional to 10,543.84, 14,551.32 and 5,828.56 is: 8,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.84 : 14,551.32 = 5,828.56 : x
  2. Step 2: Convert to fraction form
    10,543.84/14,551.32 = 5,828.56/x
  3. Step 3: Cross multiply
    10,543.84x = 14,551.32 × 5,828.56
  4. Step 4: Simplify right side
    10,543.84x = 84,813,241.70
  5. Step 5: Solve for x
    x = 84,813,241.70/10,543.84
  6. Step 6: Final answer
    x = 8,043.87

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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.