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Finding the Fourth Proportional to 11,338.58, 15,644.84 and 6,301.77

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Solution

The fourth proportional to 11,338.58, 15,644.84 and 6,301.77 is: 8,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.58 : 15,644.84 = 6,301.77 : x
  2. Step 2: Convert to fraction form
    11,338.58/15,644.84 = 6,301.77/x
  3. Step 3: Cross multiply
    11,338.58x = 15,644.84 × 6,301.77
  4. Step 4: Simplify right side
    11,338.58x = 98,590,151.86
  5. Step 5: Solve for x
    x = 98,590,151.86/11,338.58
  6. Step 6: Final answer
    x = 8,695.11

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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.