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Finding the Fourth Proportional to 9,825.60, 13,576.59 and 7,852.44

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Solution

The fourth proportional to 9,825.60, 13,576.59 and 7,852.44 is: 10,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.60 : 13,576.59 = 7,852.44 : x
  2. Step 2: Convert to fraction form
    9,825.60/13,576.59 = 7,852.44/x
  3. Step 3: Cross multiply
    9,825.60x = 13,576.59 × 7,852.44
  4. Step 4: Simplify right side
    9,825.60x = 106,609,358.38
  5. Step 5: Solve for x
    x = 106,609,358.38/9,825.60
  6. Step 6: Final answer
    x = 10,850.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.