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Finding the Fourth Proportional to 10,523.63, 15,775.59 and 5,255.39

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Solution

The fourth proportional to 10,523.63, 15,775.59 and 5,255.39 is: 7,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.63 : 15,775.59 = 5,255.39 : x
  2. Step 2: Convert to fraction form
    10,523.63/15,775.59 = 5,255.39/x
  3. Step 3: Cross multiply
    10,523.63x = 15,775.59 × 5,255.39
  4. Step 4: Simplify right side
    10,523.63x = 82,906,877.93
  5. Step 5: Solve for x
    x = 82,906,877.93/10,523.63
  6. Step 6: Final answer
    x = 7,878.16

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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.