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Finding the Fourth Proportional to 10,295.41, 15,442.09 and 2,899.70

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Solution

The fourth proportional to 10,295.41, 15,442.09 and 2,899.70 is: 4,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.41 : 15,442.09 = 2,899.70 : x
  2. Step 2: Convert to fraction form
    10,295.41/15,442.09 = 2,899.70/x
  3. Step 3: Cross multiply
    10,295.41x = 15,442.09 × 2,899.70
  4. Step 4: Simplify right side
    10,295.41x = 44,777,428.37
  5. Step 5: Solve for x
    x = 44,777,428.37/10,295.41
  6. Step 6: Final answer
    x = 4,349.26

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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.