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Finding the Fourth Proportional to 10,501.78, 15,754.74 and 3,005.41

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Solution

The fourth proportional to 10,501.78, 15,754.74 and 3,005.41 is: 4,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.78 : 15,754.74 = 3,005.41 : x
  2. Step 2: Convert to fraction form
    10,501.78/15,754.74 = 3,005.41/x
  3. Step 3: Cross multiply
    10,501.78x = 15,754.74 × 3,005.41
  4. Step 4: Simplify right side
    10,501.78x = 47,349,453.14
  5. Step 5: Solve for x
    x = 47,349,453.14/10,501.78
  6. Step 6: Final answer
    x = 4,508.71

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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.