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Finding the Fourth Proportional to 10,617.82, 14,653.11 and 5,902

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Solution

The fourth proportional to 10,617.82, 14,653.11 and 5,902 is: 8,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.82 : 14,653.11 = 5,902 : x
  2. Step 2: Convert to fraction form
    10,617.82/14,653.11 = 5,902/x
  3. Step 3: Cross multiply
    10,617.82x = 14,653.11 × 5,902
  4. Step 4: Simplify right side
    10,617.82x = 86,482,655.22
  5. Step 5: Solve for x
    x = 86,482,655.22/10,617.82
  6. Step 6: Final answer
    x = 8,145.05

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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.