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Finding the Fourth Proportional to 8,735.40, 13,052.61 and 7,353

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Solution

The fourth proportional to 8,735.40, 13,052.61 and 7,353 is: 10,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.40 : 13,052.61 = 7,353 : x
  2. Step 2: Convert to fraction form
    8,735.40/13,052.61 = 7,353/x
  3. Step 3: Cross multiply
    8,735.40x = 13,052.61 × 7,353
  4. Step 4: Simplify right side
    8,735.40x = 95,975,841.33
  5. Step 5: Solve for x
    x = 95,975,841.33/8,735.40
  6. Step 6: Final answer
    x = 10,987.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.