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Finding the Fourth Proportional to 7,285.70, 10,054.17 and 4,141.68

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Solution

The fourth proportional to 7,285.70, 10,054.17 and 4,141.68 is: 5,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285.70 : 10,054.17 = 4,141.68 : x
  2. Step 2: Convert to fraction form
    7,285.70/10,054.17 = 4,141.68/x
  3. Step 3: Cross multiply
    7,285.70x = 10,054.17 × 4,141.68
  4. Step 4: Simplify right side
    7,285.70x = 41,641,154.81
  5. Step 5: Solve for x
    x = 41,641,154.81/7,285.70
  6. Step 6: Final answer
    x = 5,715.47

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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.