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Finding the Fourth Proportional to 10,012.95, 13,818.24 and 5,537.07

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Solution

The fourth proportional to 10,012.95, 13,818.24 and 5,537.07 is: 7,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.95 : 13,818.24 = 5,537.07 : x
  2. Step 2: Convert to fraction form
    10,012.95/13,818.24 = 5,537.07/x
  3. Step 3: Cross multiply
    10,012.95x = 13,818.24 × 5,537.07
  4. Step 4: Simplify right side
    10,012.95x = 76,512,562.16
  5. Step 5: Solve for x
    x = 76,512,562.16/10,012.95
  6. Step 6: Final answer
    x = 7,641.36

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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.