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Finding the Fourth Proportional to 7,806.05, 11,712.03 and 4,688.24

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Solution

The fourth proportional to 7,806.05, 11,712.03 and 4,688.24 is: 7,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.05 : 11,712.03 = 4,688.24 : x
  2. Step 2: Convert to fraction form
    7,806.05/11,712.03 = 4,688.24/x
  3. Step 3: Cross multiply
    7,806.05x = 11,712.03 × 4,688.24
  4. Step 4: Simplify right side
    7,806.05x = 54,908,748.97
  5. Step 5: Solve for x
    x = 54,908,748.97/7,806.05
  6. Step 6: Final answer
    x = 7,034.13

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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.