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Finding the Fourth Proportional to 7,235.03, 9,983.81 and 4,047.91

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Solution

The fourth proportional to 7,235.03, 9,983.81 and 4,047.91 is: 5,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.03 : 9,983.81 = 4,047.91 : x
  2. Step 2: Convert to fraction form
    7,235.03/9,983.81 = 4,047.91/x
  3. Step 3: Cross multiply
    7,235.03x = 9,983.81 × 4,047.91
  4. Step 4: Simplify right side
    7,235.03x = 40,413,549.50
  5. Step 5: Solve for x
    x = 40,413,549.50/7,235.03
  6. Step 6: Final answer
    x = 5,585.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.