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Finding the Fourth Proportional to 8,713.15, 13,066.81 and 4,709.77

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Solution

The fourth proportional to 8,713.15, 13,066.81 and 4,709.77 is: 7,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.15 : 13,066.81 = 4,709.77 : x
  2. Step 2: Convert to fraction form
    8,713.15/13,066.81 = 4,709.77/x
  3. Step 3: Cross multiply
    8,713.15x = 13,066.81 × 4,709.77
  4. Step 4: Simplify right side
    8,713.15x = 61,541,669.73
  5. Step 5: Solve for x
    x = 61,541,669.73/8,713.15
  6. Step 6: Final answer
    x = 7,063.08

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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.