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Finding the Fourth Proportional to 11,335.65, 15,642.88 and 6,299.74

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Solution

The fourth proportional to 11,335.65, 15,642.88 and 6,299.74 is: 8,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.65 : 15,642.88 = 6,299.74 : x
  2. Step 2: Convert to fraction form
    11,335.65/15,642.88 = 6,299.74/x
  3. Step 3: Cross multiply
    11,335.65x = 15,642.88 × 6,299.74
  4. Step 4: Simplify right side
    11,335.65x = 98,546,076.85
  5. Step 5: Solve for x
    x = 98,546,076.85/11,335.65
  6. Step 6: Final answer
    x = 8,693.47

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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.