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Finding the Fourth Proportional to 10,540, 14,543.94 and 5,823.64

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Solution

The fourth proportional to 10,540, 14,543.94 and 5,823.64 is: 8,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540 : 14,543.94 = 5,823.64 : x
  2. Step 2: Convert to fraction form
    10,540/14,543.94 = 5,823.64/x
  3. Step 3: Cross multiply
    10,540x = 14,543.94 × 5,823.64
  4. Step 4: Simplify right side
    10,540x = 84,698,670.74
  5. Step 5: Solve for x
    x = 84,698,670.74/10,540
  6. Step 6: Final answer
    x = 8,035.93

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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.