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Finding the Fourth Proportional to 10,836, 14,953.68 and 5,868

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Solution

The fourth proportional to 10,836, 14,953.68 and 5,868 is: 8,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836 : 14,953.68 = 5,868 : x
  2. Step 2: Convert to fraction form
    10,836/14,953.68 = 5,868/x
  3. Step 3: Cross multiply
    10,836x = 14,953.68 × 5,868
  4. Step 4: Simplify right side
    10,836x = 87,748,194.24
  5. Step 5: Solve for x
    x = 87,748,194.24/10,836
  6. Step 6: Final answer
    x = 8,097.84

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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.