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Finding the Fourth Proportional to 10,543.64, 14,550.30 and 5,828.06

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Solution

The fourth proportional to 10,543.64, 14,550.30 and 5,828.06 is: 8,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.64 : 14,550.30 = 5,828.06 : x
  2. Step 2: Convert to fraction form
    10,543.64/14,550.30 = 5,828.06/x
  3. Step 3: Cross multiply
    10,543.64x = 14,550.30 × 5,828.06
  4. Step 4: Simplify right side
    10,543.64x = 84,800,021.42
  5. Step 5: Solve for x
    x = 84,800,021.42/10,543.64
  6. Step 6: Final answer
    x = 8,042.77

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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.