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Finding the Fourth Proportional to 7,904.03, 11,857.85 and 2,709.59

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Solution

The fourth proportional to 7,904.03, 11,857.85 and 2,709.59 is: 4,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.03 : 11,857.85 = 2,709.59 : x
  2. Step 2: Convert to fraction form
    7,904.03/11,857.85 = 2,709.59/x
  3. Step 3: Cross multiply
    7,904.03x = 11,857.85 × 2,709.59
  4. Step 4: Simplify right side
    7,904.03x = 32,129,898.23
  5. Step 5: Solve for x
    x = 32,129,898.23/7,904.03
  6. Step 6: Final answer
    x = 4,065.00

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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.