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Finding the Fourth Proportional to 7,257.65, 10,015.43 and 4,070.94

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Solution

The fourth proportional to 7,257.65, 10,015.43 and 4,070.94 is: 5,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.65 : 10,015.43 = 4,070.94 : x
  2. Step 2: Convert to fraction form
    7,257.65/10,015.43 = 4,070.94/x
  3. Step 3: Cross multiply
    7,257.65x = 10,015.43 × 4,070.94
  4. Step 4: Simplify right side
    7,257.65x = 40,772,194.25
  5. Step 5: Solve for x
    x = 40,772,194.25/7,257.65
  6. Step 6: Final answer
    x = 5,617.83

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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.