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Finding the Fourth Proportional to 7,808.03, 11,703.83 and 4,846.46

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Solution

The fourth proportional to 7,808.03, 11,703.83 and 4,846.46 is: 7,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.03 : 11,703.83 = 4,846.46 : x
  2. Step 2: Convert to fraction form
    7,808.03/11,703.83 = 4,846.46/x
  3. Step 3: Cross multiply
    7,808.03x = 11,703.83 × 4,846.46
  4. Step 4: Simplify right side
    7,808.03x = 56,722,061.19
  5. Step 5: Solve for x
    x = 56,722,061.19/7,808.03
  6. Step 6: Final answer
    x = 7,264.58

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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.