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Finding the Fourth Proportional to 8,709.76, 12,019.60 and 4,932.83

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Solution

The fourth proportional to 8,709.76, 12,019.60 and 4,932.83 is: 6,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.76 : 12,019.60 = 4,932.83 : x
  2. Step 2: Convert to fraction form
    8,709.76/12,019.60 = 4,932.83/x
  3. Step 3: Cross multiply
    8,709.76x = 12,019.60 × 4,932.83
  4. Step 4: Simplify right side
    8,709.76x = 59,290,588.75
  5. Step 5: Solve for x
    x = 59,290,588.75/8,709.76
  6. Step 6: Final answer
    x = 6,807.38

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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.