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Finding the Fourth Proportional to 10,297.09, 15,448.11 and 2,901.52

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Solution

The fourth proportional to 10,297.09, 15,448.11 and 2,901.52 is: 4,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.09 : 15,448.11 = 2,901.52 : x
  2. Step 2: Convert to fraction form
    10,297.09/15,448.11 = 2,901.52/x
  3. Step 3: Cross multiply
    10,297.09x = 15,448.11 × 2,901.52
  4. Step 4: Simplify right side
    10,297.09x = 44,823,000.13
  5. Step 5: Solve for x
    x = 44,823,000.13/10,297.09
  6. Step 6: Final answer
    x = 4,352.98

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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.