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Finding the Fourth Proportional to 10,072.66, 15,106.70 and 3,830.46

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Solution

The fourth proportional to 10,072.66, 15,106.70 and 3,830.46 is: 5,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.66 : 15,106.70 = 3,830.46 : x
  2. Step 2: Convert to fraction form
    10,072.66/15,106.70 = 3,830.46/x
  3. Step 3: Cross multiply
    10,072.66x = 15,106.70 × 3,830.46
  4. Step 4: Simplify right side
    10,072.66x = 57,865,610.08
  5. Step 5: Solve for x
    x = 57,865,610.08/10,072.66
  6. Step 6: Final answer
    x = 5,744.82

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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.