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Finding the Fourth Proportional to 7,047.39, 9,715 and 5,552.34

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Solution

The fourth proportional to 7,047.39, 9,715 and 5,552.34 is: 7,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.39 : 9,715 = 5,552.34 : x
  2. Step 2: Convert to fraction form
    7,047.39/9,715 = 5,552.34/x
  3. Step 3: Cross multiply
    7,047.39x = 9,715 × 5,552.34
  4. Step 4: Simplify right side
    7,047.39x = 53,940,983.10
  5. Step 5: Solve for x
    x = 53,940,983.10/7,047.39
  6. Step 6: Final answer
    x = 7,654.04

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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.