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Finding the Fourth Proportional to 11,565.76, 17,354.16 and 6,017.92

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Solution

The fourth proportional to 11,565.76, 17,354.16 and 6,017.92 is: 9,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.76 : 17,354.16 = 6,017.92 : x
  2. Step 2: Convert to fraction form
    11,565.76/17,354.16 = 6,017.92/x
  3. Step 3: Cross multiply
    11,565.76x = 17,354.16 × 6,017.92
  4. Step 4: Simplify right side
    11,565.76x = 104,435,946.55
  5. Step 5: Solve for x
    x = 104,435,946.55/11,565.76
  6. Step 6: Final answer
    x = 9,029.75

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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.