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Finding the Fourth Proportional to 10,532.79, 15,770.43 and 6,825.87

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Solution

The fourth proportional to 10,532.79, 15,770.43 and 6,825.87 is: 10,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.79 : 15,770.43 = 6,825.87 : x
  2. Step 2: Convert to fraction form
    10,532.79/15,770.43 = 6,825.87/x
  3. Step 3: Cross multiply
    10,532.79x = 15,770.43 × 6,825.87
  4. Step 4: Simplify right side
    10,532.79x = 107,646,905.02
  5. Step 5: Solve for x
    x = 107,646,905.02/10,532.79
  6. Step 6: Final answer
    x = 10,220.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.