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Finding the Fourth Proportional to 10,654.61, 14,703.43 and 5,939.19

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Solution

The fourth proportional to 10,654.61, 14,703.43 and 5,939.19 is: 8,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.61 : 14,703.43 = 5,939.19 : x
  2. Step 2: Convert to fraction form
    10,654.61/14,703.43 = 5,939.19/x
  3. Step 3: Cross multiply
    10,654.61x = 14,703.43 × 5,939.19
  4. Step 4: Simplify right side
    10,654.61x = 87,326,464.42
  5. Step 5: Solve for x
    x = 87,326,464.42/10,654.61
  6. Step 6: Final answer
    x = 8,196.12

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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.