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Finding the Fourth Proportional to 10,614.07, 15,906.02 and 7,818.76

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Solution

The fourth proportional to 10,614.07, 15,906.02 and 7,818.76 is: 11,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.07 : 15,906.02 = 7,818.76 : x
  2. Step 2: Convert to fraction form
    10,614.07/15,906.02 = 7,818.76/x
  3. Step 3: Cross multiply
    10,614.07x = 15,906.02 × 7,818.76
  4. Step 4: Simplify right side
    10,614.07x = 124,365,422.19
  5. Step 5: Solve for x
    x = 124,365,422.19/10,614.07
  6. Step 6: Final answer
    x = 11,717.03

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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.