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Finding the Fourth Proportional to 7,853.92, 10,837.65 and 4,496.02

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Solution

The fourth proportional to 7,853.92, 10,837.65 and 4,496.02 is: 6,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.92 : 10,837.65 = 4,496.02 : x
  2. Step 2: Convert to fraction form
    7,853.92/10,837.65 = 4,496.02/x
  3. Step 3: Cross multiply
    7,853.92x = 10,837.65 × 4,496.02
  4. Step 4: Simplify right side
    7,853.92x = 48,726,291.15
  5. Step 5: Solve for x
    x = 48,726,291.15/7,853.92
  6. Step 6: Final answer
    x = 6,204.07

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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.