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Finding the Fourth Proportional to 11,710.96, 17,565.48 and 3,502.96

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Solution

The fourth proportional to 11,710.96, 17,565.48 and 3,502.96 is: 5,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.96 : 17,565.48 = 3,502.96 : x
  2. Step 2: Convert to fraction form
    11,710.96/17,565.48 = 3,502.96/x
  3. Step 3: Cross multiply
    11,710.96x = 17,565.48 × 3,502.96
  4. Step 4: Simplify right side
    11,710.96x = 61,531,173.82
  5. Step 5: Solve for x
    x = 61,531,173.82/11,710.96
  6. Step 6: Final answer
    x = 5,254.15

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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.