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Finding the Fourth Proportional to 11,587.80, 17,377.08 and 4,188.24

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Solution

The fourth proportional to 11,587.80, 17,377.08 and 4,188.24 is: 6,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.80 : 17,377.08 = 4,188.24 : x
  2. Step 2: Convert to fraction form
    11,587.80/17,377.08 = 4,188.24/x
  3. Step 3: Cross multiply
    11,587.80x = 17,377.08 × 4,188.24
  4. Step 4: Simplify right side
    11,587.80x = 72,779,381.54
  5. Step 5: Solve for x
    x = 72,779,381.54/11,587.80
  6. Step 6: Final answer
    x = 6,280.69

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