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Finding the Fourth Proportional to 10,154.72, 14,009.27 and 7,912.71

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Solution

The fourth proportional to 10,154.72, 14,009.27 and 7,912.71 is: 10,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.72 : 14,009.27 = 7,912.71 : x
  2. Step 2: Convert to fraction form
    10,154.72/14,009.27 = 7,912.71/x
  3. Step 3: Cross multiply
    10,154.72x = 14,009.27 × 7,912.71
  4. Step 4: Simplify right side
    10,154.72x = 110,851,290.82
  5. Step 5: Solve for x
    x = 110,851,290.82/10,154.72
  6. Step 6: Final answer
    x = 10,916.23

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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.