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Finding the Fourth Proportional to 11,383.30, 15,709.02 and 6,347.84

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Solution

The fourth proportional to 11,383.30, 15,709.02 and 6,347.84 is: 8,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.30 : 15,709.02 = 6,347.84 : x
  2. Step 2: Convert to fraction form
    11,383.30/15,709.02 = 6,347.84/x
  3. Step 3: Cross multiply
    11,383.30x = 15,709.02 × 6,347.84
  4. Step 4: Simplify right side
    11,383.30x = 99,718,345.52
  5. Step 5: Solve for x
    x = 99,718,345.52/11,383.30
  6. Step 6: Final answer
    x = 8,760.06

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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.