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Finding the Fourth Proportional to 10,694, 16,047.92 and 5,767.08

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Solution

The fourth proportional to 10,694, 16,047.92 and 5,767.08 is: 8,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694 : 16,047.92 = 5,767.08 : x
  2. Step 2: Convert to fraction form
    10,694/16,047.92 = 5,767.08/x
  3. Step 3: Cross multiply
    10,694x = 16,047.92 × 5,767.08
  4. Step 4: Simplify right side
    10,694x = 92,549,638.47
  5. Step 5: Solve for x
    x = 92,549,638.47/10,694
  6. Step 6: Final answer
    x = 8,654.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.