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Finding the Fourth Proportional to 10,954.50, 15,130.17 and 7,411.56

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Solution

The fourth proportional to 10,954.50, 15,130.17 and 7,411.56 is: 10,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.50 : 15,130.17 = 7,411.56 : x
  2. Step 2: Convert to fraction form
    10,954.50/15,130.17 = 7,411.56/x
  3. Step 3: Cross multiply
    10,954.50x = 15,130.17 × 7,411.56
  4. Step 4: Simplify right side
    10,954.50x = 112,138,162.77
  5. Step 5: Solve for x
    x = 112,138,162.77/10,954.50
  6. Step 6: Final answer
    x = 10,236.72

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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.