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Finding the Fourth Proportional to 10,392.93, 14,342.58 and 5,856.39

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Solution

The fourth proportional to 10,392.93, 14,342.58 and 5,856.39 is: 8,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.93 : 14,342.58 = 5,856.39 : x
  2. Step 2: Convert to fraction form
    10,392.93/14,342.58 = 5,856.39/x
  3. Step 3: Cross multiply
    10,392.93x = 14,342.58 × 5,856.39
  4. Step 4: Simplify right side
    10,392.93x = 83,995,742.09
  5. Step 5: Solve for x
    x = 83,995,742.09/10,392.93
  6. Step 6: Final answer
    x = 8,082.01

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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.