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Finding the Fourth Proportional to 10,584.12, 14,602.21 and 6,335.31

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Solution

The fourth proportional to 10,584.12, 14,602.21 and 6,335.31 is: 8,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.12 : 14,602.21 = 6,335.31 : x
  2. Step 2: Convert to fraction form
    10,584.12/14,602.21 = 6,335.31/x
  3. Step 3: Cross multiply
    10,584.12x = 14,602.21 × 6,335.31
  4. Step 4: Simplify right side
    10,584.12x = 92,509,527.04
  5. Step 5: Solve for x
    x = 92,509,527.04/10,584.12
  6. Step 6: Final answer
    x = 8,740.41

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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.