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Finding the Fourth Proportional to 10,531.79, 14,533.27 and 6,287.65

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Solution

The fourth proportional to 10,531.79, 14,533.27 and 6,287.65 is: 8,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.79 : 14,533.27 = 6,287.65 : x
  2. Step 2: Convert to fraction form
    10,531.79/14,533.27 = 6,287.65/x
  3. Step 3: Cross multiply
    10,531.79x = 14,533.27 × 6,287.65
  4. Step 4: Simplify right side
    10,531.79x = 91,380,063.06
  5. Step 5: Solve for x
    x = 91,380,063.06/10,531.79
  6. Step 6: Final answer
    x = 8,676.59

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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.