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Finding the Fourth Proportional to 7,853.16, 10,837.98 and 4,497.03

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Solution

The fourth proportional to 7,853.16, 10,837.98 and 4,497.03 is: 6,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.16 : 10,837.98 = 4,497.03 : x
  2. Step 2: Convert to fraction form
    7,853.16/10,837.98 = 4,497.03/x
  3. Step 3: Cross multiply
    7,853.16x = 10,837.98 × 4,497.03
  4. Step 4: Simplify right side
    7,853.16x = 48,738,721.20
  5. Step 5: Solve for x
    x = 48,738,721.20/7,853.16
  6. Step 6: Final answer
    x = 6,206.26

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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.