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Finding the Fourth Proportional to 11,507.16, 17,249.77 and 3,710.50

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Solution

The fourth proportional to 11,507.16, 17,249.77 and 3,710.50 is: 5,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.16 : 17,249.77 = 3,710.50 : x
  2. Step 2: Convert to fraction form
    11,507.16/17,249.77 = 3,710.50/x
  3. Step 3: Cross multiply
    11,507.16x = 17,249.77 × 3,710.50
  4. Step 4: Simplify right side
    11,507.16x = 64,005,271.59
  5. Step 5: Solve for x
    x = 64,005,271.59/11,507.16
  6. Step 6: Final answer
    x = 5,562.21

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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.