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Finding the Fourth Proportional to 7,802.74, 11,676.30 and 6,252.70

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Solution

The fourth proportional to 7,802.74, 11,676.30 and 6,252.70 is: 9,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.74 : 11,676.30 = 6,252.70 : x
  2. Step 2: Convert to fraction form
    7,802.74/11,676.30 = 6,252.70/x
  3. Step 3: Cross multiply
    7,802.74x = 11,676.30 × 6,252.70
  4. Step 4: Simplify right side
    7,802.74x = 73,008,401.01
  5. Step 5: Solve for x
    x = 73,008,401.01/7,802.74
  6. Step 6: Final answer
    x = 9,356.76

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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.