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Finding the Fourth Proportional to 10,128, 15,181.04 and 6,840.24

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Solution

The fourth proportional to 10,128, 15,181.04 and 6,840.24 is: 10,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128 : 15,181.04 = 6,840.24 : x
  2. Step 2: Convert to fraction form
    10,128/15,181.04 = 6,840.24/x
  3. Step 3: Cross multiply
    10,128x = 15,181.04 × 6,840.24
  4. Step 4: Simplify right side
    10,128x = 103,841,957.05
  5. Step 5: Solve for x
    x = 103,841,957.05/10,128
  6. Step 6: Final answer
    x = 10,252.96

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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.