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Finding the Fourth Proportional to 10,501.85, 15,754.71 and 3,005.09

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Solution

The fourth proportional to 10,501.85, 15,754.71 and 3,005.09 is: 4,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.85 : 15,754.71 = 3,005.09 : x
  2. Step 2: Convert to fraction form
    10,501.85/15,754.71 = 3,005.09/x
  3. Step 3: Cross multiply
    10,501.85x = 15,754.71 × 3,005.09
  4. Step 4: Simplify right side
    10,501.85x = 47,344,321.47
  5. Step 5: Solve for x
    x = 47,344,321.47/10,501.85
  6. Step 6: Final answer
    x = 4,508.19

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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.