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Finding the Fourth Proportional to 7,427.57, 10,250.15 and 4,070.31

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Solution

The fourth proportional to 7,427.57, 10,250.15 and 4,070.31 is: 5,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.57 : 10,250.15 = 4,070.31 : x
  2. Step 2: Convert to fraction form
    7,427.57/10,250.15 = 4,070.31/x
  3. Step 3: Cross multiply
    7,427.57x = 10,250.15 × 4,070.31
  4. Step 4: Simplify right side
    7,427.57x = 41,721,267.69
  5. Step 5: Solve for x
    x = 41,721,267.69/7,427.57
  6. Step 6: Final answer
    x = 5,617.09

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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.