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Finding the Fourth Proportional to 10,537.14, 14,541.15 and 5,821.32

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Solution

The fourth proportional to 10,537.14, 14,541.15 and 5,821.32 is: 8,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.14 : 14,541.15 = 5,821.32 : x
  2. Step 2: Convert to fraction form
    10,537.14/14,541.15 = 5,821.32/x
  3. Step 3: Cross multiply
    10,537.14x = 14,541.15 × 5,821.32
  4. Step 4: Simplify right side
    10,537.14x = 84,648,687.32
  5. Step 5: Solve for x
    x = 84,648,687.32/10,537.14
  6. Step 6: Final answer
    x = 8,033.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.