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Finding the Fourth Proportional to 7,799.64, 11,701.82 and 6,972.67

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Solution

The fourth proportional to 7,799.64, 11,701.82 and 6,972.67 is: 10,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.64 : 11,701.82 = 6,972.67 : x
  2. Step 2: Convert to fraction form
    7,799.64/11,701.82 = 6,972.67/x
  3. Step 3: Cross multiply
    7,799.64x = 11,701.82 × 6,972.67
  4. Step 4: Simplify right side
    7,799.64x = 81,592,929.26
  5. Step 5: Solve for x
    x = 81,592,929.26/7,799.64
  6. Step 6: Final answer
    x = 10,461.11

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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.