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Finding the Fourth Proportional to 10,537.16, 14,541.32 and 5,821.47

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Solution

The fourth proportional to 10,537.16, 14,541.32 and 5,821.47 is: 8,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.16 : 14,541.32 = 5,821.47 : x
  2. Step 2: Convert to fraction form
    10,537.16/14,541.32 = 5,821.47/x
  3. Step 3: Cross multiply
    10,537.16x = 14,541.32 × 5,821.47
  4. Step 4: Simplify right side
    10,537.16x = 84,651,872.69
  5. Step 5: Solve for x
    x = 84,651,872.69/10,537.16
  6. Step 6: Final answer
    x = 8,033.66

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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.