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Finding the Fourth Proportional to 10,135.36, 15,204.64 and 4,292

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Solution

The fourth proportional to 10,135.36, 15,204.64 and 4,292 is: 6,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.36 : 15,204.64 = 4,292 : x
  2. Step 2: Convert to fraction form
    10,135.36/15,204.64 = 4,292/x
  3. Step 3: Cross multiply
    10,135.36x = 15,204.64 × 4,292
  4. Step 4: Simplify right side
    10,135.36x = 65,258,314.88
  5. Step 5: Solve for x
    x = 65,258,314.88/10,135.36
  6. Step 6: Final answer
    x = 6,438.68

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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.