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Finding the Fourth Proportional to 10,534.37, 14,537.43 and 5,754.38

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Solution

The fourth proportional to 10,534.37, 14,537.43 and 5,754.38 is: 7,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.37 : 14,537.43 = 5,754.38 : x
  2. Step 2: Convert to fraction form
    10,534.37/14,537.43 = 5,754.38/x
  3. Step 3: Cross multiply
    10,534.37x = 14,537.43 × 5,754.38
  4. Step 4: Simplify right side
    10,534.37x = 83,653,823.76
  5. Step 5: Solve for x
    x = 83,653,823.76/10,534.37
  6. Step 6: Final answer
    x = 7,941.04

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Why These Related Problems?

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