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Finding the Fourth Proportional to 8,712.21, 12,017.01 and 5,841

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Solution

The fourth proportional to 8,712.21, 12,017.01 and 5,841 is: 8,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.21 : 12,017.01 = 5,841 : x
  2. Step 2: Convert to fraction form
    8,712.21/12,017.01 = 5,841/x
  3. Step 3: Cross multiply
    8,712.21x = 12,017.01 × 5,841
  4. Step 4: Simplify right side
    8,712.21x = 70,191,355.41
  5. Step 5: Solve for x
    x = 70,191,355.41/8,712.21
  6. Step 6: Final answer
    x = 8,056.66

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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.