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Finding the Fourth Proportional to 10,536.48, 15,804.56 and 3,141

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Solution

The fourth proportional to 10,536.48, 15,804.56 and 3,141 is: 4,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.48 : 15,804.56 = 3,141 : x
  2. Step 2: Convert to fraction form
    10,536.48/15,804.56 = 3,141/x
  3. Step 3: Cross multiply
    10,536.48x = 15,804.56 × 3,141
  4. Step 4: Simplify right side
    10,536.48x = 49,642,122.96
  5. Step 5: Solve for x
    x = 49,642,122.96/10,536.48
  6. Step 6: Final answer
    x = 4,711.45

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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.