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Finding the Fourth Proportional to 15,512.16, 23,263.92 and 6,276

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Solution

The fourth proportional to 15,512.16, 23,263.92 and 6,276 is: 9,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512.16 : 23,263.92 = 6,276 : x
  2. Step 2: Convert to fraction form
    15,512.16/23,263.92 = 6,276/x
  3. Step 3: Cross multiply
    15,512.16x = 23,263.92 × 6,276
  4. Step 4: Simplify right side
    15,512.16x = 146,004,361.92
  5. Step 5: Solve for x
    x = 146,004,361.92/15,512.16
  6. Step 6: Final answer
    x = 9,412.25

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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.