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Finding the Fourth Proportional to 11,710.55, 17,565.29 and 4,314.51

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Solution

The fourth proportional to 11,710.55, 17,565.29 and 4,314.51 is: 6,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.55 : 17,565.29 = 4,314.51 : x
  2. Step 2: Convert to fraction form
    11,710.55/17,565.29 = 4,314.51/x
  3. Step 3: Cross multiply
    11,710.55x = 17,565.29 × 4,314.51
  4. Step 4: Simplify right side
    11,710.55x = 75,785,613.96
  5. Step 5: Solve for x
    x = 75,785,613.96/11,710.55
  6. Step 6: Final answer
    x = 6,471.57

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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.