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Finding the Fourth Proportional to 7,106.88, 10,663.39 and 3,816.13

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Solution

The fourth proportional to 7,106.88, 10,663.39 and 3,816.13 is: 5,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.88 : 10,663.39 = 3,816.13 : x
  2. Step 2: Convert to fraction form
    7,106.88/10,663.39 = 3,816.13/x
  3. Step 3: Cross multiply
    7,106.88x = 10,663.39 × 3,816.13
  4. Step 4: Simplify right side
    7,106.88x = 40,692,882.48
  5. Step 5: Solve for x
    x = 40,692,882.48/7,106.88
  6. Step 6: Final answer
    x = 5,725.84

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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.