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Finding the Fourth Proportional to 10,378.86, 15,576.18 and 7,612.56

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Solution

The fourth proportional to 10,378.86, 15,576.18 and 7,612.56 is: 11,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.86 : 15,576.18 = 7,612.56 : x
  2. Step 2: Convert to fraction form
    10,378.86/15,576.18 = 7,612.56/x
  3. Step 3: Cross multiply
    10,378.86x = 15,576.18 × 7,612.56
  4. Step 4: Simplify right side
    10,378.86x = 118,574,604.82
  5. Step 5: Solve for x
    x = 118,574,604.82/10,378.86
  6. Step 6: Final answer
    x = 11,424.63

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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.