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Finding the Fourth Proportional to 7,676.69, 11,510.10 and 5,041.08

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Solution

The fourth proportional to 7,676.69, 11,510.10 and 5,041.08 is: 7,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.69 : 11,510.10 = 5,041.08 : x
  2. Step 2: Convert to fraction form
    7,676.69/11,510.10 = 5,041.08/x
  3. Step 3: Cross multiply
    7,676.69x = 11,510.10 × 5,041.08
  4. Step 4: Simplify right side
    7,676.69x = 58,023,334.91
  5. Step 5: Solve for x
    x = 58,023,334.91/7,676.69
  6. Step 6: Final answer
    x = 7,558.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.