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Finding the Fourth Proportional to 10,463.32, 15,674.46 and 6,071.56

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Solution

The fourth proportional to 10,463.32, 15,674.46 and 6,071.56 is: 9,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.32 : 15,674.46 = 6,071.56 : x
  2. Step 2: Convert to fraction form
    10,463.32/15,674.46 = 6,071.56/x
  3. Step 3: Cross multiply
    10,463.32x = 15,674.46 × 6,071.56
  4. Step 4: Simplify right side
    10,463.32x = 95,168,424.36
  5. Step 5: Solve for x
    x = 95,168,424.36/10,463.32
  6. Step 6: Final answer
    x = 9,095.43

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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.