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Finding the Fourth Proportional to 8,482.77, 11,705.40 and 4,705.86

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Solution

The fourth proportional to 8,482.77, 11,705.40 and 4,705.86 is: 6,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.77 : 11,705.40 = 4,705.86 : x
  2. Step 2: Convert to fraction form
    8,482.77/11,705.40 = 4,705.86/x
  3. Step 3: Cross multiply
    8,482.77x = 11,705.40 × 4,705.86
  4. Step 4: Simplify right side
    8,482.77x = 55,083,973.64
  5. Step 5: Solve for x
    x = 55,083,973.64/8,482.77
  6. Step 6: Final answer
    x = 6,493.63

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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.