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Finding the Fourth Proportional to 10,701.86, 14,769.41 and 5,985.90

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Solution

The fourth proportional to 10,701.86, 14,769.41 and 5,985.90 is: 8,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.86 : 14,769.41 = 5,985.90 : x
  2. Step 2: Convert to fraction form
    10,701.86/14,769.41 = 5,985.90/x
  3. Step 3: Cross multiply
    10,701.86x = 14,769.41 × 5,985.90
  4. Step 4: Simplify right side
    10,701.86x = 88,408,181.39
  5. Step 5: Solve for x
    x = 88,408,181.39/10,701.86
  6. Step 6: Final answer
    x = 8,261.01

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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.