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Finding the Fourth Proportional to 11,335.14, 15,642.50 and 6,299.83

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Solution

The fourth proportional to 11,335.14, 15,642.50 and 6,299.83 is: 8,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.14 : 15,642.50 = 6,299.83 : x
  2. Step 2: Convert to fraction form
    11,335.14/15,642.50 = 6,299.83/x
  3. Step 3: Cross multiply
    11,335.14x = 15,642.50 × 6,299.83
  4. Step 4: Simplify right side
    11,335.14x = 98,544,981.06
  5. Step 5: Solve for x
    x = 98,544,981.06/11,335.14
  6. Step 6: Final answer
    x = 8,693.76

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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.