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Finding the Fourth Proportional to 10,693.82, 14,756.18 and 5,913.12

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Solution

The fourth proportional to 10,693.82, 14,756.18 and 5,913.12 is: 8,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.82 : 14,756.18 = 5,913.12 : x
  2. Step 2: Convert to fraction form
    10,693.82/14,756.18 = 5,913.12/x
  3. Step 3: Cross multiply
    10,693.82x = 14,756.18 × 5,913.12
  4. Step 4: Simplify right side
    10,693.82x = 87,255,063.08
  5. Step 5: Solve for x
    x = 87,255,063.08/10,693.82
  6. Step 6: Final answer
    x = 8,159.39

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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.