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Finding the Fourth Proportional to 10,543.97, 14,551.43 and 5,828.15

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Solution

The fourth proportional to 10,543.97, 14,551.43 and 5,828.15 is: 8,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.97 : 14,551.43 = 5,828.15 : x
  2. Step 2: Convert to fraction form
    10,543.97/14,551.43 = 5,828.15/x
  3. Step 3: Cross multiply
    10,543.97x = 14,551.43 × 5,828.15
  4. Step 4: Simplify right side
    10,543.97x = 84,807,814.86
  5. Step 5: Solve for x
    x = 84,807,814.86/10,543.97
  6. Step 6: Final answer
    x = 8,043.26

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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.