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Finding the Fourth Proportional to 7,676.19, 11,506.59 and 4,905.99

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Solution

The fourth proportional to 7,676.19, 11,506.59 and 4,905.99 is: 7,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.19 : 11,506.59 = 4,905.99 : x
  2. Step 2: Convert to fraction form
    7,676.19/11,506.59 = 4,905.99/x
  3. Step 3: Cross multiply
    7,676.19x = 11,506.59 × 4,905.99
  4. Step 4: Simplify right side
    7,676.19x = 56,451,215.47
  5. Step 5: Solve for x
    x = 56,451,215.47/7,676.19
  6. Step 6: Final answer
    x = 7,354.07

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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.