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Finding the Fourth Proportional to 11,415.34, 15,753.51 and 6,379.58

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Solution

The fourth proportional to 11,415.34, 15,753.51 and 6,379.58 is: 8,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.34 : 15,753.51 = 6,379.58 : x
  2. Step 2: Convert to fraction form
    11,415.34/15,753.51 = 6,379.58/x
  3. Step 3: Cross multiply
    11,415.34x = 15,753.51 × 6,379.58
  4. Step 4: Simplify right side
    11,415.34x = 100,500,666.66
  5. Step 5: Solve for x
    x = 100,500,666.66/11,415.34
  6. Step 6: Final answer
    x = 8,804.00

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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.