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Finding the Fourth Proportional to 11,565.25, 17,354.50 and 6,300.05

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Solution

The fourth proportional to 11,565.25, 17,354.50 and 6,300.05 is: 9,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.25 : 17,354.50 = 6,300.05 : x
  2. Step 2: Convert to fraction form
    11,565.25/17,354.50 = 6,300.05/x
  3. Step 3: Cross multiply
    11,565.25x = 17,354.50 × 6,300.05
  4. Step 4: Simplify right side
    11,565.25x = 109,334,115.20
  5. Step 5: Solve for x
    x = 109,334,115.20/11,565.25
  6. Step 6: Final answer
    x = 9,453.68

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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.