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Finding the Fourth Proportional to 10,537.17, 14,540.76 and 5,820.54

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Solution

The fourth proportional to 10,537.17, 14,540.76 and 5,820.54 is: 8,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.17 : 14,540.76 = 5,820.54 : x
  2. Step 2: Convert to fraction form
    10,537.17/14,540.76 = 5,820.54/x
  3. Step 3: Cross multiply
    10,537.17x = 14,540.76 × 5,820.54
  4. Step 4: Simplify right side
    10,537.17x = 84,635,075.21
  5. Step 5: Solve for x
    x = 84,635,075.21/10,537.17
  6. Step 6: Final answer
    x = 8,032.05

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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.