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Finding the Fourth Proportional to 7,710.62, 11,564.10 and 3,548.03

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Solution

The fourth proportional to 7,710.62, 11,564.10 and 3,548.03 is: 5,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.62 : 11,564.10 = 3,548.03 : x
  2. Step 2: Convert to fraction form
    7,710.62/11,564.10 = 3,548.03/x
  3. Step 3: Cross multiply
    7,710.62x = 11,564.10 × 3,548.03
  4. Step 4: Simplify right side
    7,710.62x = 41,029,715.90
  5. Step 5: Solve for x
    x = 41,029,715.90/7,710.62
  6. Step 6: Final answer
    x = 5,321.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.