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Finding the Fourth Proportional to 10,614.74, 14,644.06 and 6,415.70

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Solution

The fourth proportional to 10,614.74, 14,644.06 and 6,415.70 is: 8,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.74 : 14,644.06 = 6,415.70 : x
  2. Step 2: Convert to fraction form
    10,614.74/14,644.06 = 6,415.70/x
  3. Step 3: Cross multiply
    10,614.74x = 14,644.06 × 6,415.70
  4. Step 4: Simplify right side
    10,614.74x = 93,951,806.48
  5. Step 5: Solve for x
    x = 93,951,806.48/10,614.74
  6. Step 6: Final answer
    x = 8,851.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.