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Finding the Fourth Proportional to 10,135.05, 15,065.82 and 9,836.07

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Solution

The fourth proportional to 10,135.05, 15,065.82 and 9,836.07 is: 14,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.05 : 15,065.82 = 9,836.07 : x
  2. Step 2: Convert to fraction form
    10,135.05/15,065.82 = 9,836.07/x
  3. Step 3: Cross multiply
    10,135.05x = 15,065.82 × 9,836.07
  4. Step 4: Simplify right side
    10,135.05x = 148,188,460.13
  5. Step 5: Solve for x
    x = 148,188,460.13/10,135.05
  6. Step 6: Final answer
    x = 14,621.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.