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Finding the Fourth Proportional to 10,584.48, 14,599.92 and 6,858.24

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Solution

The fourth proportional to 10,584.48, 14,599.92 and 6,858.24 is: 9,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.48 : 14,599.92 = 6,858.24 : x
  2. Step 2: Convert to fraction form
    10,584.48/14,599.92 = 6,858.24/x
  3. Step 3: Cross multiply
    10,584.48x = 14,599.92 × 6,858.24
  4. Step 4: Simplify right side
    10,584.48x = 100,129,755.34
  5. Step 5: Solve for x
    x = 100,129,755.34/10,584.48
  6. Step 6: Final answer
    x = 9,460.05

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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.