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Finding the Fourth Proportional to 8,565.09, 12,838.94 and 5,792.08

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Solution

The fourth proportional to 8,565.09, 12,838.94 and 5,792.08 is: 8,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.09 : 12,838.94 = 5,792.08 : x
  2. Step 2: Convert to fraction form
    8,565.09/12,838.94 = 5,792.08/x
  3. Step 3: Cross multiply
    8,565.09x = 12,838.94 × 5,792.08
  4. Step 4: Simplify right side
    8,565.09x = 74,364,167.60
  5. Step 5: Solve for x
    x = 74,364,167.60/8,565.09
  6. Step 6: Final answer
    x = 8,682.24

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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.