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Finding the Fourth Proportional to 7,001.38, 10,480.32 and 5,236

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Solution

The fourth proportional to 7,001.38, 10,480.32 and 5,236 is: 7,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.38 : 10,480.32 = 5,236 : x
  2. Step 2: Convert to fraction form
    7,001.38/10,480.32 = 5,236/x
  3. Step 3: Cross multiply
    7,001.38x = 10,480.32 × 5,236
  4. Step 4: Simplify right side
    7,001.38x = 54,874,955.52
  5. Step 5: Solve for x
    x = 54,874,955.52/7,001.38
  6. Step 6: Final answer
    x = 7,837.73

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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.