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Finding the Fourth Proportional to 10,057.51, 15,093.56 and 7,076.35

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Solution

The fourth proportional to 10,057.51, 15,093.56 and 7,076.35 is: 10,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.51 : 15,093.56 = 7,076.35 : x
  2. Step 2: Convert to fraction form
    10,057.51/15,093.56 = 7,076.35/x
  3. Step 3: Cross multiply
    10,057.51x = 15,093.56 × 7,076.35
  4. Step 4: Simplify right side
    10,057.51x = 106,807,313.31
  5. Step 5: Solve for x
    x = 106,807,313.31/10,057.51
  6. Step 6: Final answer
    x = 10,619.66

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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.