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Finding the Fourth Proportional to 10,034.77, 15,053.37 and 4,837

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Solution

The fourth proportional to 10,034.77, 15,053.37 and 4,837 is: 7,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.77 : 15,053.37 = 4,837 : x
  2. Step 2: Convert to fraction form
    10,034.77/15,053.37 = 4,837/x
  3. Step 3: Cross multiply
    10,034.77x = 15,053.37 × 4,837
  4. Step 4: Simplify right side
    10,034.77x = 72,813,150.69
  5. Step 5: Solve for x
    x = 72,813,150.69/10,034.77
  6. Step 6: Final answer
    x = 7,256.09

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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.