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Finding the Fourth Proportional to 10,534.91, 14,537.79 and 5,754.87

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Solution

The fourth proportional to 10,534.91, 14,537.79 and 5,754.87 is: 7,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.91 : 14,537.79 = 5,754.87 : x
  2. Step 2: Convert to fraction form
    10,534.91/14,537.79 = 5,754.87/x
  3. Step 3: Cross multiply
    10,534.91x = 14,537.79 × 5,754.87
  4. Step 4: Simplify right side
    10,534.91x = 83,663,091.54
  5. Step 5: Solve for x
    x = 83,663,091.54/10,534.91
  6. Step 6: Final answer
    x = 7,941.51

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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.