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Finding the Fourth Proportional to 10,536.44, 15,807.60 and 3,140.84

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Solution

The fourth proportional to 10,536.44, 15,807.60 and 3,140.84 is: 4,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.44 : 15,807.60 = 3,140.84 : x
  2. Step 2: Convert to fraction form
    10,536.44/15,807.60 = 3,140.84/x
  3. Step 3: Cross multiply
    10,536.44x = 15,807.60 × 3,140.84
  4. Step 4: Simplify right side
    10,536.44x = 49,649,142.38
  5. Step 5: Solve for x
    x = 49,649,142.38/10,536.44
  6. Step 6: Final answer
    x = 4,712.14

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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.