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Finding the Fourth Proportional to 7,437.69, 10,258.92 and 5,083.02

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Solution

The fourth proportional to 7,437.69, 10,258.92 and 5,083.02 is: 7,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.69 : 10,258.92 = 5,083.02 : x
  2. Step 2: Convert to fraction form
    7,437.69/10,258.92 = 5,083.02/x
  3. Step 3: Cross multiply
    7,437.69x = 10,258.92 × 5,083.02
  4. Step 4: Simplify right side
    7,437.69x = 52,146,295.54
  5. Step 5: Solve for x
    x = 52,146,295.54/7,437.69
  6. Step 6: Final answer
    x = 7,011.09

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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.