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Finding the Fourth Proportional to 10,366.92, 15,541.74 and 4,817.34

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Solution

The fourth proportional to 10,366.92, 15,541.74 and 4,817.34 is: 7,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.92 : 15,541.74 = 4,817.34 : x
  2. Step 2: Convert to fraction form
    10,366.92/15,541.74 = 4,817.34/x
  3. Step 3: Cross multiply
    10,366.92x = 15,541.74 × 4,817.34
  4. Step 4: Simplify right side
    10,366.92x = 74,869,845.77
  5. Step 5: Solve for x
    x = 74,869,845.77/10,366.92
  6. Step 6: Final answer
    x = 7,222.00

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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.