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Finding the Fourth Proportional to 10,543.89, 14,550 and 5,827.89

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Solution

The fourth proportional to 10,543.89, 14,550 and 5,827.89 is: 8,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.89 : 14,550 = 5,827.89 : x
  2. Step 2: Convert to fraction form
    10,543.89/14,550 = 5,827.89/x
  3. Step 3: Cross multiply
    10,543.89x = 14,550 × 5,827.89
  4. Step 4: Simplify right side
    10,543.89x = 84,795,799.50
  5. Step 5: Solve for x
    x = 84,795,799.50/10,543.89
  6. Step 6: Final answer
    x = 8,042.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.