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Finding the Fourth Proportional to 7,048.32, 9,715.50 and 5,553.96

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Solution

The fourth proportional to 7,048.32, 9,715.50 and 5,553.96 is: 7,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.32 : 9,715.50 = 5,553.96 : x
  2. Step 2: Convert to fraction form
    7,048.32/9,715.50 = 5,553.96/x
  3. Step 3: Cross multiply
    7,048.32x = 9,715.50 × 5,553.96
  4. Step 4: Simplify right side
    7,048.32x = 53,959,498.38
  5. Step 5: Solve for x
    x = 53,959,498.38/7,048.32
  6. Step 6: Final answer
    x = 7,655.65

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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.